Question

A wire was shaped to form a square of area

81cm². An equilateral triangle was formed by
the same wire. What is the length of a side of
the triangle formed?

Answer 1

12 cm

Explanation:

Given :-

• A wire shaped to form a square of area
• 81cm².
• An equilateral triangle was formed by
• the same wire.

To Find :-

• The length of a side of the triangle formed?

Solution :-

We know that the area of square is ,

> a² = 81 cm²

> a = √81 cm²

> a = ±9 cm

> a = 9cm ( -ve not possible )

Therefore perimeter ,

> P = 4a

> P = 4 * 9cm

> P = 36 cm .

We know all sides of ∆ are equal. therefore ,

> a + a + a = 36cm

> 3a = 36cm

> a = 36 cm/3

> a = 12cm