# In an isosceles triangle, the base is 3/4 of the lateral side. find the lengths of the sides of the triangle

July 28, 2021 | education

| **In an isosceles triangle, the base is 3/4 of the lateral side. find the lengths of the sides of the triangle if its perimeter is 22 cm.**

Let each lateral side of an isosceles triangle be x cm.

The base is 3/4 of the side or 0.75x cm.

It is known that the perimeter is 22 cm.

We solve the equation.

2x + 0.75x = 22,

2.75x = 22,

x = 22: 2.75,

x = 8 (cm) – side.

0.75 * 8 = 6 (cm) – base.

Answer: The sides of the triangle are 8 cm, 8 cm and 6 cm.

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