Question

The side length of an equilateral triangle is 6 cm. What is the height of the triangle?

Answer 1

Correct me if I am wrong but an equilateral has the same length on each side so wouldn’t it be 6 cm?

Answer 2

`3√(3)`

Explanation:

We are asked to find the height of an equilateral triangle, whose side length is 6 cm.

We know that all sides of an equilateral triangle are equal.

We can find height of an equilateral triangle using formula
`(√(3))/(2)a`, where 'a' represents side length of equilateral triangle.

`(√(3))/(2)\cdot 6`

`√(3)\cdot 3`

`3√(3)`

Therefore, the height of the equilateral triangle is
`3√(3)`.