NCERT/Class 9/Mathematics/Heron's Formula

Heron's Formula

Class 9 · Mathematics

60 questions29 easy17 medium14 hard

Sample Questions

Q1.A kite-shaped field has two triangular parts with sides: one triangle 5m, 5m, 6m and another 5m, 5m, 8m. Total area is:

  • A12 + 12 = 24 m²
  • B12 + 2√21 m²
  • C24 + 2√21 m²
  • D20 m²

Q2.A sign board is triangular with sides 122 cm, 22 cm, and 120 cm. Its area is:

  • A1320 cm²
  • B2640 cm²
  • C660 cm²
  • D13200 cm²

Q3.A quadrilateral can be divided into two triangles by drawing a:

  • AMedian
  • BDiagonal
  • CAltitude
  • DPerpendicular bisector

Q4.The standard formula for area of a triangle when base and height are known is:

  • Abase × height
  • B(1/2) × base × height
  • C(1/3) × base × height
  • D(2/3) × base × height

Q5.If the perimeter of a triangle is 30 cm, the semi-perimeter is:

  • A60 cm
  • B15 cm
  • C10 cm
  • D30 cm

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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