Question

find the lenght of the side and perimetre of an equilateral triangle whose height is root 3​

Answer 1

Since,

Height (H) =

$\sqrt{3 } \div 2 \times \alpha$

Where Alpha is the side of the triangle.

Hence,

H = 3/2 or 1.5

Answer 2

By pythagyoras theorm.... we can apply it to find the sides of the triangle. Put a perpendicular on the base and we get base divided into a/2 and a/2 (length of side=a) put it in the formula as hypotenuse^2= perpendicular ^2+ base^2 where hypotenuse=a and base=a/2 and perpendicular= the height of triangle. We get the side length. Multiplying the length by 3... we get the perimeter.... since it is an equilateral triangle and all sides are same ... therefore addition of sides 3 times is the perimeter