Heron's Formula

Class 9 · Mathematics

60 questions29 easy17 medium14 hard

Sample Questions

Q1.Heron's formula gives the area of a triangle in terms of:

  • ABase and height only
  • BAll three sides
  • CTwo sides and included angle
  • DPerimeter and one angle

Q2.The area of a triangle with sides 6 cm, 8 cm, and 10 cm is:

  • A24 cm²
  • B48 cm²
  • C30 cm²
  • D36 cm²

Q3.The semi-perimeter of a triangle with sides a, b, c is:

  • Aa + b + c
  • B(a + b + c)/2
  • C(a + b + c)/3
  • D2(a + b + c)

Q4.A triangle has sides in ratio 3:5:7. If the perimeter is 300 m, the area using Heron's formula is:

  • A1500√3 m²
  • B2250√3 m²
  • C3000 m²
  • D1500 m²

Q5.Heron's formula is particularly useful when:

  • AThe height of the triangle is known
  • BOnly the three sides are known and the height is not known
  • CThe triangle is equilateral
  • DThe triangle is right-angled

Q6.This is a sample question to preview what you'll get in the full practice test...

  • A. Option one
  • B. Option two
  • C. Option three
  • D. Option four
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Concepts Covered

Application of Heron's formulaArea of quadrilateral using trianglesArea of triangleArea using base and heightHeron's formulaScalene triangleSemi-perimeter

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