Question

Find the apothem of an equilateral triangle with radius 8 cm.

Answer 1

In this question , the triangle is equilateral triangle , with radius equals to 8 cm  and we have to find the length of apotherm, a .

Using sine ratio rule,

$sin C = \frac{ opposite}{hypotenuse}$

For triangle ODC, opposite is a cm and hypotenuse is of length 8 cm .

So we will get

$sin 30 = \frac{a}{8}$

Multiplying both sides by 8

$8 sin 30 =a \\ 8* \frac{1}{2} =a \\ a = 4 cm$

So the length of the apothem is 4 cm .