Question

Find the sides of an equilateral triangle whose height is given as 6 cm

Answer 1

The heightof equilateral triangle is

"3·$\sqrt{3}$ cm".

Step-by-step explanation:

Let  side of an equilateral triangle = a

Given, height (h) = ?

∴ Height of equilateral triangle = $\dfrac{\sqrt{3}}{2}$ × side(a)

= $\dfrac{\sqrt{3}}{2}$ × 6 cm

=  3·$\sqrt{3}$ cm

∴ The eight of equilateral triangle =  3·$\sqrt{3}$ cm

Hence,  the heightof equilateral triangle is "3·$\sqrt{3}$ cm".