Question

3. The height of an equiletral triangle is v3 a units. Then its area is

Answer 1

Step-by-step explanation:

Height of an equlilateral triangle =v3

Lets take the length of sides of triangle as x

by Pythagoras Theroem:

P^2=b^2+h^2

(v3)^2=(1/2x)^2+(x)^2

3=1/4x^2+x^2

12=2x^2

12/2=x^2

6=x^2

v6=x

Area of equilateral triangle= v3/4a^2

=v3/4 × v6^2

=v3/4 × 6

=v3/2 ×3

=3v3/2 ans.