Question

two equal sides of an isosceles triangle are 2 cm more than thrice the third side. if the perimeter of triangle is 67 cm find the lengths of its sides

Answer 1

Let the third side be 'x'

Now, the two other sides are 3x + 2

Perimeter = 67
x + 3x +2 + 3x + 2 = 67
7x = 63
x = 9 cm


So, one side = x = 9 cm
Other two sides = 3x + 2 = 18 + 2 = 20 cm

Answer 2

Given,

• Two sides of an isosceles triangle are equal.
• The equal sides are 2 cm more than thrice the third side.
• Perimeter of the triangle = 67 cm

To find,

The lengths of its sides.

Solution,

An isosceles triangle is a triangle which has two sides of equal length.

Perimeter is the boundary that surrounds the given geometric shape.

Perimeter of a triangle = sum of lengths of three sides.

Let the third side of the isosceles triangle be x cm.

Given,  the two equal sides of an isosceles triangle are 2 cm more than thrice the third side.

⇒ Equal sides  =  (3x+2) cm

To find perimeter, add all the lengths of three sides,

⇒  (3x + 2) + (3x + 2) + x = 67

⇒  7x + 4 = 67

⇒ 7x = 67 - 4

⇒ 7x = 63

⇒ x = 9

Therefore, third side value = 9 cm.

The other two sides = 3x + 2 = 3(9) +2 = 27 + 2 = 29 cm

Hence, the length of the sides are 9 cm, 29 cm and 29 cm.