# Find the area of an isosceles triangle having the base x cm and one side y cm. - Mathematics

Short Note

Find the area of an isosceles triangle having the base x cm and one side y cm.

#### Solution

Let us assume triangle ABC be the given isosceles triangle having sides AB = AC and base BC. The area of a triangle ABC, say A having given sides AB and AC equals to cm and given base BC equals to x cm is given by

A=1/2 " (Base" xx "Height)"

Where,

Base = BC = x cm; Height = sqrt(y^2 -x^2/4

A=1/2 " (Base" xx "Height)"

=1/2 xx x (sqrt(y^2 -x^2/4))

=x/2 (sqrt(y^2 -x^2/4))

Concept: Area of a Triangle by Heron's Formula
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#### APPEARS IN

RD Sharma Mathematics for Class 9
Chapter 17 Heron’s Formula
Exercise 17.3 | Q 3 | Page 24

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