CBSE  /  Class 9  /  Maths  /  Heron’s Formula

  • 1. 
    An isosceles right triangle has area 8 cm². The length of its hypotenuse is

  • \(\sqrt{32}\) cm
  • \(\sqrt{16}\) cm
  • \(\sqrt{48}\) cm
  • \(\sqrt{24}\) cm

  • 2. 
    The perimeter of an equilateral triangle is 60 m. The area is

  • 10√3 m²
  • 15√3 m²
  • 20√3 m²
  • 100√3 m²

  • 3. 
    The sides of a triangle are 56 cm, 60 cm and 52 cm long. Then the area of the triangle is

  • 1322 cm²
  • 1311 cm²
  • 1344 cm²
  • 1392 cm²

  • 4. 
    The area of an equilateral triangle with side 2√3 cm is

  • 5.196 cm²
  • 0.866 cm²
  • 3.496 cm²
  • 1.732 cm²

  • 5. 
    The length of each side of an equilateral triangle having an area of 9√3 cm² is

  • 8 cm
  • 36 cm
  • 4 cm
  • 6 cm

  • 6. 
    If the area of an equilateral triangle is 16√3 cm², then the perimeter of the triangle is

  • 48 cm
  • 24 cm
  • 12 cm
  • 36 cm

  • 7. 
    The sides of a triangle are 35 cm, 54 cm and 61 cm. The length of its longest altitude is

  • 16√5 cm
  • 10√5 cm
  • 24√5 cm
  • 28 cm

  • 8. 
    The area of an isosceles triangle having base 2 cm and the length of one of the equal sides 4 cm is

  • \(\sqrt{15}\) cm²
  • \(\sqrt{\frac{15}{2}}\) cm²
  • 2\(\sqrt{15}\)5 cm²
  • 4\(\sqrt{15}\) cm²

  • 9. 
    The edges of a triangular board are 6 cm, 8 cm and 10 cm. The cost of painting it at the rate of 9 paise per cm² is

  • Rs 2.00
  • Rs 2.16
  • Rs 2.48
  • Rs 3.00

  • 10. 
    The base of a right triangle is 48 cm and its hypotenuse is 50 cm. The area of the triangle is

  • 168 cm²
  • 252 cm²
  • 336 cm²
  • 504 cm²
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