CBSE Class 9 Maths Application of Heron's Formula

• 1) The students in XYz School decided to set up a triangular garden with a tiled pathway It. They chose the dimensions of the triangle to be 15 meters, 30 meters, and 35 meters for the side width of the pathway is 1.5 meters.  a) Calculate the area of the triangular garden.  b) What will be the new dimensions of the triangle if we include the pathway? c) Calculate the area of the triangular garden including the pathway. d) Determine the area covered by tiles for the pathway   2) In a triangular park, the lengths of the sides are 15 m, 22 m, and 25 m. A smaller triangular flower bed is to be made inside the park with midpoints of each side of the park as vertices. Flnd the area of the smaller triangular flower bed and the remalning area of the park outside the flower bed. 3) Sides of a triangle are in the ratio of 3: 5 :7 and its perimeter is 300cm. Its area will be: (1) a.1000V3 sq.cm   b.1500V3sq.cm    c.1700V3 sq.cm    d.1900V3s4.cm  4) The length of altitude of an equilateral triangle of side a unit is  a.v3/2a   b.v3/4a   c.V3/2a   d. none of these  5) Find the area of a triangle having the length of sides as 3,4 and 5 units respectively.  6) The length of the sides of a trilangle is 5x, 5x and 8x. Find the area of the triangle.  7) Find the area of the triangle having sides1 m, 2m and 2 m.   8) The sides of a triangular flower bed are 5m,8 m and11m.Find the area of the flower bed. 9) An isosceles right triangle has area 8cm². Find the length of its hypotenuse.
  
• A farmer has a triangular plot of land and he intends to divide it equally among his three children. The sides of the plot are 50m, 60m, 70m. Each child will  recieve a triangular piece of land with a common point. Find the dimensions of the triangular pieces resulting from the division and calculate their area
  
• find the area of triangle whose sides are 40cm,24 cm,32cm?
• find the area of a triangle two sides of which are 18cm and 10cm and it's perimeter is 42cm
• Area of an isosceles right angled triangle is 50cm ² find the length of equal side
• there is a slide in a park. One of its side walls has been painted in some colour with a message "keep the park clean and green if the sides of the wall are 1511 and 6 cm find the area painted in colour
• Two sides of a triangle are 8cm and 11cm and it's perimeter is 32cm.The third side is : a)4cm b)13cm c)14cm d)16cm
• a parallelogram has two sides 16cm and 25 cm and the diagonal is 65m long .find the area of the parallelogram
• Aapka it in the shape of a square with diagonal 32 cm and an isosceles triangle of days. It's and and side 6 cm each has to be made of three different Shades as known as shown in the figure 12.17 how much paper of a ship has been used in
• A triangle has sides 35 cm 54 cm and 61 cm long find its area also find the smallest of it's altitude altitude altitude

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