Heron’s Formula

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Question 1

The area of a triangle with base 10 cm and height 6 cm is:


  • A

    60 cm²

  • B

    40 cm²

  • C

    20 cm²

  • D

    30 cm²

Question 2

If the area of a triangle is 24 cm² and its base is 8 cm, then its height is:

  • A

    4 cm

  • B

    5 cm

  • C

    8 cm

  • D

    6 cm

Question 3

Heron’s formula is used to find the area of a triangle when:

  • A

    Base and height are given

  • B

    Only angles are given

  • C

    All three sides are given

  • D

    Only one side is given

Question 4

If the sides of a triangle are 5 cm, 6 cm, and 7 cm, the semi-perimeter (s) is:

  • A

    9 cm

  • B

    12 cm

  • C

    10 cm

  • D

    8 cm

Question 5

The formula for area using Heron’s formula is:

  • A

    √(a² + b²)

  • B

    ½ × base × height

  • C

    s(s − a)(s − b)(s − c)

  • D

    √[s(s − a)(s − b)(s − c)]


Question 6

Find the area of a triangle with sides 3 cm, 4 cm, and 5 cm.

  • A

    5 cm²

  • B

    7 cm²

  • C

    8 cm²

  • D

    6 cm²

Question 7

If the sides of a triangle are 10 cm, 10 cm, and 12 cm, the semi-perimeter is:

  • A

    15 cm

  • B

    14 cm

  • C

    16 cm

  • D

    18 cm

Question 8

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

  • A

    20 cm²

  • B

    22 cm²

  • C

    30 cm²

  • D

    24 cm²

There are 8 questions to complete.

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