Question

In a equilateral triangle of side 3root3cm ,find the length of the altitude

Answer 1

Answer:

4.5

Step-by-step explanation:

h = √(a2 − b2/4)

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