Question

Height of an equilateral triangle is 6. Find the perimeter.

Answer 1

Answer:

18

Step-by-step explanation:

Height of equilateral triangle - 6

6*3 - 18 (All sides are same in a equilateral triangle)

Answer 2

Answer:

The perimeter of an equilateral triangle is equal to 20.76 m.

Step-by-step explanation:

Consider that 'a' is the side of an equilateral triangle.

Given, the height of the equatorial triangle, h = 6 m

We know that the height of equilateral triangle can be used to calculate the side of the equilateral triangle.

Height of the equatorial triangle $=\frac{\sqrt{3} }{2} a$

$6 =\frac{\sqrt{3} }{2} a$

$6\times 2 = \sqrt{3}a$

$12 = \sqrt{3} a$

$a= 6.92m$

So, the each side (a) of equilateral triangle is 6.92 m.

We know that for an equilateral triangle, all the three sides of triangle are equal.

Therefore, the perimeter of the equilateral triangle = 3a

$Perimeter = 3\times 6.92=20.76\; m$

Therefore, the perimeter of an equilateral triangle is equal to 20.76 m.

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