Short Note

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

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#### 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 *y *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))`

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