Question

Perimeter of an equilateral triangle is 36 cm. Find its area using Heron's formula ​

Answer 1

Answer:

let one side be "a"

a + a + a = 36

3a = 36

a = 36/3

a = 12 cm.

Now, if we apply Herons Formula,

12 + 12 + 12/2 = 18. ( 18 is the semi - perimeter)

(18- 12) (18-12) (18-12)

6 X 6 X 6

2X3X2X3X2X3

2X2X3X3 root 2X3

(We consider both pairs of 2X2 as one)

6 root 6 is your answer.

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