Question

if the perimeter of an equilateral triangle is 15 cm then calculate the height and area of that traingle​

Answer 1

Step-by-step explanation:

Let the length of each equal sides of the triangle be x cm

Given Perimeter of triangle = 15 cm

x + x + x = 15

3x = 15

x = 15 / 3

x = 5 cm

Height =

$x \sqrt{3} \div 2$

You can find this height using Pythagoras theorem.

H =

$5 \sqrt{3} \div 2$

Area = 1/2 × X × H

= 1/2 × 5 × 5√3/2

= 25√3 / 4 cm²