Maths-
General
Easy
Question
In ![straight triangle A B C text , if end text c squared equals a squared plus b squared comma 2 s equals a plus b plus c text then end text 4 s left parenthesis s minus a right parenthesis left parenthesis s minus b right parenthesis left parenthesis s minus c right parenthesis equals](data:image/png;base64,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)
Hint:
In this question, we have if
. We will find the area of triangle using two methods, height and base and other method using sides. Further equating both the area we will find the required value.
The correct answer is: ![a squared b squared](data:image/png;base64,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)
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