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Question
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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