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Heron's Formula CBSE Class 9

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Heron's Formula Topics

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Question 1/20

Q 1. The lengths of the sides of a triangle are 50 cm, 78 cm and 112 cm. Find the length of the perpendicular from the opposite vertex to the side whose length is 50 cm. 

Solution

Q 2. Find the area of an equilateral triangle having side x cm. 

Solution

Area of an equilateral triangle is given by   

Q 3. A triangle has sides a cm, b cm and c cm. Its semi-perimeter is given by 

Solution

The perimeter of a triangle with sides a cm, b cm and c cm is given by  

Q 4. The length of each side of an equilateral triangle of area  cm2 is 

Solution

  

Q 5. An isosceles triangle has a perimeter of 40 cm and each of the congruent sides is 15 cm. Find the area of the triangle. 

Solution

  

Q 6. Find the area of a rhombus, having a side of 25 cm and the length of one of its diagonals as 30 cm. 

Solution

  

  

Q 7. ABC is a right-angled triangle, right angled at B. If BC = 24 cm and AC = 25 cm, then find the area of ABC. 

Solution

ABC is a right-angled triangle.

Area of ABC = 0.5 × AB × BC

By Pythagoras' theorem,

AC2 = AB2 + BC2

252 = AB2 + 242

AB = 7

Area of DABC = 0.5 × 24 × 7 = 84 cm2

Q 8. Find the area of a triangle having sides 9 cm, 28 cm and 35 cm. 

Solution

Q 9. A triangle has sides of 13 cm, 14 cm and 15 cm. Find its area. 

Solution

The area of a triangle having sides a cm, b cm and c cm is given by

  

Q 10. Find the area of an equilateral triangle having side 2 cm. 

Solution

Area of an equilateral triangle is given by

  

Q 11. Find the area of an equilateral triangle having side 5 cm. 

Solution

Area of an equilateral triangle is given by 

Area =

Q 12. A triangle has sides of 5 cm, 12 cm and 13 cm. Find its area. 

Solution

The area of a triangle having sides a cm, b cm and c cm is given by

Q 13. Find the area of an equilateral triangle having side 3 cm. 

Solution

Area of an equilateral triangle is given by

Q 14. Find the area of an equilateral triangle having side 1 cm. 

Solution

Area of an equilateral triangle is given by 

Q 15. Find the area of a triangle having sides 41 cm, 28 cm and 15 cm. 

Solution

By Heron’s formula,

Q 16. Find the area of a quadrilateral park ABCD having sides AB = 3 m, BC = 4 m, DC = 4 m, AC = 5 m and BC AB. 

Solution

  

  

Q 17. The sides of the triangle are 14 cm, 13 cm and 15 cm. Its area is 

Solution

By Heron’s formula,

Q 18. ABCD is a rhombus having a perimeter of 100 cm and diagonal AC of 30 cm. Find its area. 

Solution

  

  

Q 19. Find the area of a rhombus, having a side of 6 cm and the length of one of its diagonals as 9 cm. 

Solution

  

  

Q 20. Find the area of a triangle, sides of which are 7 cm and 9 cm and 14 cm. 

Solution

  

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Heron's Formula Notes

Revision Notes

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Heron's Formula Tests

Heron's Formula Textbook Solutions

Heron's Formula Doubts and Solutions

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