Question

Each of the equal sides of an isosceles triangle is twice as large as the third side.If the perimeter of the triangle is 30cm,the lengths of the triangle are:

Answer 1

Given:

• Perimeter of the triangle = 30cm
• Equal sides are twice the third side.

To Find:

• Length of the sides of the triangle

Let length of the third side = x

Length of each equal side = 2x

The sides of the triangle are : x, 2x and 2x.

Perimeter of the triangle = Sum of all sides

➞ 30 cm = x + 2x + 2x

➞ 30 cm = ( 2 + 2 + 1 )x

➞ 30 cm = 5x

➞ 30 cm/5 = x

➞ 6 cm = x

Sides of the triangle:

• x = 6cm
• 2x = 2( 6cm ) = 12cm
• 2x = 2( 6cm ) = 12cm

Sides of the triangle are 6cm, 12cm and 12cm