The sides of a right angled triangle are 2a cm, (2a+2) cm and (4a -2) cm. What is the length of the shortest side of the triangle if its perimeter is 24 cm?
6 cm
Perimeter of the triangle
= [2a + (2a + 2) + (4a - 2)] cm
⇒ 8a cm = 24 cm or a = 3 cm
∴ The length of the shortest side is 2a = 6 cm.