Question

In an equilateral triangle of side 3 root 3,Find the length of the altitude

Answer 1

Side of equilateral triangle = 3√3
Altitude of equilateral triangle = $\frac{\sqrt{3}}2$ a
= $\frac{\sqrt{3}}2$ × 3√3
= (√3 × 3√3)/2
= 3(√3)²/2
= 3(3)/2
= 9/2
= 4.5

∴altitude of the equilateral triangle is 4.5

Answer 2

Side = 3√3

Altitude of equilateral triangle = Side × √3/2
= 3√3 × √3/2
= 9/2
= 4.5