Question

12) If the length of side of an equilateral triangle is x cm, then its height is​

Answer 1

Step-by-step explanation:

An equilateral triangle can be broken down into 2 30-60-90 right triangles (see image). The length of a side (the base) is 2x while the length of the height is x3–√. The area of a triangle can be calculated using the following equation:

A=12bh

Therefore, if 2x equals the length of a side:

A=163–√=12bh=12(2x)(x3–√)=x23–√

163–√=x23–√

16=x2

x=4

A length of the side equals 2x:

2(4)=8