# Application Of Herons Formula Free Doubts and Solutions

### CBSE - IX - Mathematics - Heron's Formula

The sides of a triangle are x, x+1, 2x-1 and its area is x. What is the value of x?

**mandaokar**10th February 2018, 10:20 AM

### CBSE - IX - Mathematics - Heron's Formula

## Calculate the area of an isosceles triangle with equal sides of measure 13 cm and third side of measure 24 cm.

**Topperlearning User**28th August 2017, 3:04 PM

### CBSE - IX - Mathematics - Heron's Formula

## A triangular park in a city has dimensions 30 m x 26 m x 28 m. A gardener has to plant grass inside the park at Rs. 1.50 per m2. Find the amount to be paid to the gardener.

**Topperlearning User**28th August 2017, 2:58 PM

### CBSE - IX - Mathematics - Heron's Formula

## The sides of a triangle are in the ratio 4:5:5 and its perimeter is 168 m. Find the area of the triangle.

**Topperlearning User**28th August 2017, 2:54 PM

### CBSE - IX - Mathematics - Heron's Formula

## The base of an isosceles triangle measures 24 cm and its area is 60 cm2. Find its perimeter.

**Topperlearning User**28th August 2017, 2:53 PM

### CBSE - IX - Mathematics - Heron's Formula

## In the following figure, the dimensions of the triangles are given. Find the area of the shaded portion

**Topperlearning User**28th August 2017, 2:47 PM

### CBSE - IX - Mathematics - Heron's Formula

## Find the area of a triangle whose sides are 6.5 cm, 7 cm and 7.5 cm.

**Topperlearning User**28th August 2017, 2:45 PM

### CBSE - IX - Mathematics - Heron's Formula

## An isosceles triangle has perimeter 30 cm and each of the equal sides is 12 cm. Find the area of the triangle.

**Topperlearning User**28th August 2017, 2:44 PM

### CBSE - IX - Mathematics - Heron's Formula

## Two sides of a triangle are 8 cm and 11 cm and its perimeter is 32 cm. Find the area of the triangle.

**Topperlearning User**21st August 2017, 10:23 AM

### CBSE - IX - Mathematics - Heron's Formula

## Sides of a triangle are in the ratio 13 : 14 : 15 and its perimeter is 84 cm. Find its area.

**Topperlearning User**21st August 2017, 10:21 AM

### CBSE - IX - Mathematics - Heron's Formula

## Find the area of a triangle with perimeter 22 cm, one side 9 cm and difference of other two sides is 7 cm.

**Topperlearning User**21st August 2017, 8:49 AM

### CBSE - IX - Mathematics - Heron's Formula

## solve the following question : if 3 raise to power a = 5 raise to power -b = 15 raise to power c, then prove that : 1/a - 1/b - 1/c = 0

**Vikas**22nd May 2017, 12:16 AM

### CBSE - IX - Mathematics - Heron's Formula

## Two parallel sides of a trepezium are 60 cm and 77 cm and other sides are 25 cm and 26 cm. Find the area of the trepezium ?

**Vikas**18th May 2017, 11:09 PM

### CBSE - IX - Mathematics - Heron's Formula

## Find the area of the quadilateral whose side measures 9 cm , 40 cm , 28 cm and 15 cm.The angle between the first two sides of a quad. is a right angle ?

**Vikas**18th May 2017, 11:06 PM

### CBSE - IX - Mathematics - Heron's Formula

## A rhombus sheet whose perimeter is 40 m and one diagonal is 12 m long painted on both sides @ Rs 5 per square m.Find the cost of the painting ?

**Vikas**18th May 2017, 11:02 PM

### CBSE - IX - Mathematics - Heron's Formula

## i am not able to do long division for finding out the value of root can you explain it with example

**rajivjoshigoldtech**12th September 2016, 9:57 AM

### CBSE - IX - Mathematics - Heron's Formula

## find the area of a triangle whose sides are respectively 150cm,120cm and 200cm.

**Bigyanshree**22nd August 2016, 3:34 PM

### CBSE - IX - Mathematics - Heron's Formula

##
If the radius of its circumcircle is 5 cm and the altitude drawn to the hypotenuse is 4 cm, the area of a right-angled triangle is equal to_________.

If the radius of its circumcircle is 5 cm and the altitude drawn to the hypotenuse is 4 cm, the area of a right-angled triangle is equal to_________.

**gpnkumar0**5th August 2016, 6:10 PM

### CBSE - IX - Mathematics - Heron's Formula

## The sum of the length, breadth and height of a cuboidal box is 19 cm and the length of its diagonal is 11 cm. Find the surface area of the cuboidal box.

**gpnkumar0**5th August 2016, 6:06 PM

### CBSE - IX - Mathematics - Heron's Formula

## The base of an isosceles right triangle is 30 cm.Its area is_________.

**gpnkumar0**2nd August 2016, 12:10 PM

### CBSE - IX - Mathematics - Heron's Formula

## If the length of a median of an equilateral triangle is **'x cm'**, then its area is ________.

**'x cm'**, then its area is ________.

**gpnkumar0**2nd August 2016, 12:07 PM

### CBSE - IX - Mathematics - Heron's Formula

## THIS ONE IS SIMPLE BUT ITS NOT CLICKING MY MIND......ABCD IS A QUADRILATERAL IN WHICH DIAGNOL BD PERPENDICULAR TO THE SIDE AB,IF AB=4.5CM,AD=7.5 AND THE DISTANCE OF C FROM BD=1.5.FIND THE AREA OF THE QUADRILATERAL.(WITH DIAGRAM)

**binodbharali**14th June 2016, 8:49 PM

### CBSE - IX - Mathematics - Heron's Formula

## area of a triangle x1 unit sqaure,if the sides are doubled new area becomes x2. x1/x2=1:4 .Find the percentage increase in the area.

**binodbharali**14th June 2016, 10:27 AM

### CBSE - IX - Mathematics - Heron's Formula

**Perimeter of rhombus with diagonals d1 and d2 is ______________**

**Perimeter of rhombus with diagonals d1 and d2 is ______________**

**arunk.agarwal**24th April 2016, 11:56 AM

### CBSE - IX - Mathematics - Heron's Formula

## Could you plz explain me how to find root value of any given square no in simple way and also long division method.Plz refer to it as soon as possible.

**Harshita Singh**18th September 2015, 4:21 PM

### CBSE - IX - Mathematics - Heron's Formula

## The perimeter of a right angled triangle is 144cm and its hypotenuse measures 65cm. Find the lengths of the other sides and calculate its area.

**Shibu.charly**10th August 2015, 11:41 PM

### CBSE - IX - Mathematics - Heron's Formula

## FIND THE AREA OF A CYCLIC QUAD. HAVING SIDES 5 CM,6CM,7CM AND 8CM.

**nisha_vini29**22nd May 2015, 11:36 PM

### CBSE - IX - Mathematics - Heron's Formula

## a feild is in the shape of a trapezium whose parralel sides are 25m and 10m (m stands for meter) the non parallel sides are 14m and 13m. find the area of the field

**Divyanshu Vats**17th September 2014, 1:52 PM

### CBSE - IX - Mathematics - Heron's Formula

## A field is in the shape of a trapezium whose parallel sides are 25 m and 10 m. The non-parallel sides are 14 m and 13 m. Find the area of the field.

**sureshmalepati1967**19th August 2014, 6:20 PM

### CBSE - IX - Mathematics - Heron's Formula

## PL. ANSWER THE QUESTION IN FULL STEPS
**A RIGHT TRIANGLE HAS HYPOTENUSE OF LENGTH q cm AND ONE SIDE OF LENGTH p cm .IF**
**p-q=2 cm, EXPRESS THE LENGTH OF THE THIRD SIDE OF THE RIGHT TRIANGLE IN TERMS OF q. **

**A RIGHT TRIANGLE HAS HYPOTENUSE OF LENGTH q cm AND ONE SIDE OF LENGTH p cm .IF**

**p-q=2 cm, EXPRESS THE LENGTH OF THE THIRD SIDE OF THE RIGHT TRIANGLE IN TERMS OF q.****harshmandlik**8th August 2014, 10:24 PM

### CBSE - IX - Mathematics - Heron's Formula

## <div><img class="Wirisformula" src="https://images.topperlearning.com/topper/tinymce/integration/showimage.php?formula=48cf3a6bba7583ae7e6b9b3c49db604b.png" alt="H O W space T O space F I N D space T H E space B A S E space O F space A N space I S O S C E L E S space T R I A N G L E space W H O S E space B A S E space I S space 12 space c m to the power of 2 space end exponent A N D space O N E space O F space E Q U A L space S I D E S space I S space 5 space c m" align="middle" /></div>

**harshmandlik**8th August 2014, 10:20 PM

### CBSE - IX - Mathematics - Heron's Formula

## ABCD is a trapiziuem in which parrallel sides AB is 25cm. DC equal to 10cm. and non parrallel side AD equal to 14 cm. and BC equal to 13cm. Find the area of trapiziuem ABCD.

**ashokkumar698**5th August 2014, 9:13 PM

### CBSE - IX - Mathematics - Heron's Formula

## Find the area of trepizeum whose parallel sides are 25cm and 13cm and other sides are 15cm and 15cm

**sarubhatia6**15th July 2014, 10:06 PM

### CBSE - IX - Mathematics - Heron's Formula

## A field is in the shape of trapezium whose parallel sides 40m and 15 m.The non parallel sides are 25 m and 20 m. Find the area of field.

**Topperlearning User**25th June 2014, 1:36 PM

### CBSE - IX - Mathematics - Heron's Formula

## A garden is in the shape of quadrilateral. The sides of the garden are 9m, 40m, 28m and 15m respectively in consecutive order and the angle between first two sides is a right angle. Find the area of the garden.

**Topperlearning User**4th June 2014, 1:23 PM

### CBSE - IX - Mathematics - Heron's Formula

## A triangular park has sides 120 m, 80 m, 50 m. A gardener has to put a fence all around it and also plant grass inside. How much area does he need to plant? Find the cost of fencing it with barbed wire at the rate of Rs 20 per meter leaving a space 3 m wide for a gate on one side.

**Topperlearning User**4th June 2014, 1:23 PM

### CBSE - IX - Mathematics - Heron's Formula

## The sides of a triangular ground are 5m, 7m and 8 m respectively. Find the cost of leveling the ground at the rate of Rs.10 per m2. (use = 1.73).

**Topperlearning User**4th June 2014, 1:23 PM

### CBSE - IX - Mathematics - Heron's Formula

## The adjacent sides of a parallelogram ABCD measure 34 cm and 20 cm and the diagonal AC measure 42 cm. Find the area of the parallelogram.

**Topperlearning User**4th June 2014, 1:23 PM

### CBSE - IX - Mathematics - Heron's Formula

## Find the area of an equilateral triangle with side 10 cm.

**Topperlearning User**4th June 2014, 1:23 PM

### CBSE - IX - Mathematics - Heron's Formula

## Find the height of a trapezium with parallel sides 10 and 18 units, adjacent sides 7 and 9 units. Also find the area of the trapezium.

**Topperlearning User**4th June 2014, 1:23 PM

### CBSE - IX - Mathematics - Heron's Formula

## A floral design on the ceiling is made of 6 isosceles triangles. Each triangle has perimeter 100cm and base 48cm. If the triangles are painted green and blue alternately, then find the area painted green.

**Topperlearning User**4th June 2014, 1:23 PM

### CBSE - IX - Mathematics - Heron's Formula

## Sonu and Monu had adjacent triangular fields with a common boundary of 25m. The other two sides of Sonu's field were 52m and 63m,that of Monu's were 114m and 101m. If the cost of fertilization is Rs 20 per sq m, then find the total cost of fertilization for both of Sonu and Monu together.

**Topperlearning User**4th June 2014, 1:23 PM

### CBSE - IX - Mathematics - Heron's Formula

## A rhombus shaped field has green grass for 60 horses to graze. If each side of the rhombus is 50 m and its smaller diagonal is 60 m, then how much area of grass field will each horse be grazing?

**Topperlearning User**4th June 2014, 1:23 PM

### CBSE - IX - Mathematics - Heron's Formula

## Calculate the area of the rhombus of sides 41 cm and length of shorter diagonal is 18 cm.

**Topperlearning User**4th June 2014, 1:23 PM

### CBSE - IX - Mathematics - Heron's Formula

## Calculate the area of the rhombus of sides 26 cm and length of shorter diagonal is 48 cm.

**Topperlearning User**4th June 2014, 1:23 PM

### CBSE - IX - Mathematics - Heron's Formula

## A jigsaw puzzle is made of triangular pieces. Each piece is an isosceles triangle with base 8 cm and perimeter 18 cm. Find the number of pieces that can be fitted on a 16 x 9 cm rectangular board.

**Topperlearning User**31st March 2014, 2:10 PM

### CBSE - IX - Mathematics - Heron's Formula

## In a quadrilateral ABCD, AB = 11 cm, BC = 11 cm, CD = 9 cm, DA = 7 cm, and AC = 14 cm. What is the area of quadrilateral ABCD?

**Topperlearning User**31st March 2014, 1:57 PM

### CBSE - IX - Mathematics - Heron's Formula

## Find the area of quadrilateral right angled at B, in which AB = 5 cm, BC = 12 cm, AD = 22 cm and CD = 13 cm.

**Topperlearning User**14th March 2014, 9:27 AM

### CBSE - IX - Mathematics - Heron's Formula

## Find the height of the trapezium in which parallel sides are 25 cm and 10 cm and non-parallel sides are 14 cm and 13 cm.

**Topperlearning User**12th February 2014, 11:58 AM