Question

If the perimeter of an equilateral triangle is 12 if each side is doubled

Answer 1

Answer:

What is the perimeter of an equilateral triangle ?

let us consider the side of the triangle as a.

then,

a+a+a = perimeter of the equilateral triangle

3a = perimeter of the equilateral triangle

Given

each side is doubled

according to the question,

2×3a = 12

6a = 12

a = 12/6

a = 2

each side is 2

perimeter of original triangle = 2+2+2 or 12/a

perimeter of original triangle = 6 units

Extra information:

• area of an equilateral triangle = $\frac{\sqrt{3} }{4} a^{2}$
• height of an equilateral triangle = $\frac{\sqrt{3} }{2} a$

Answer 2

perimeter of equilateral triangle = 3a where a is side of triangle

A/q,

2 × 3a = 12

6a = 12

a = 12/6 = 2

side = 2 + 2 + 2 or 12 / 2

follow me