# ICSE Class 9 Answered

**The perimeter of an isoceles triangle is 42 cm it's base is 2/3 times the sum of equal sides . find the length of each side and the area of triangle**

Asked by Ypsingh012 | 23 Nov, 2018, 12:10: AM

Expert Answer

Let x cm be the equal sides of an isosceles triangle.

According to the question,

base of an isosceles triangle is 2/3(x + x) = 2/3 × 2x = 4x/3

x + x + 4x/3 = 42

2x + 4x/3 = 42

10x/3 = 42

x = 12.6

Hence, sides of an isosceles triangle are 12.6 cm, 12.6 cm and 16.8 cm.

Now you can find the area of isosceles triangle using Heron's formula.

Answered by Sneha shidid | 23 Nov, 2018, 09:46: AM

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