Question

One base is twice the other and ER is 6cm long.If its perimeter is 27cm,how long is each leg?

Answer 1

Solution :-

Let length of one leg of the given triangle be x cm and then the length of the other leg will be 2x cm

Given - Length of ER (third leg of the triangle) is 6 cm
Perimeter is 27 cm

Perimeter of a scalene triangle = a + b + c

⇒ 27 = x + 2x + 6

⇒ 27 = 3x + 6

⇒ 3x = 27 - 6

⇒ 3x = 21

⇒ x = 21/3

⇒ x = 7

First side is 7 cm and the the second side is 7*2 = 14 cm

Answer.