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if A B C are a right angle trianglewhere C is hypotenuseprove that radius r of the circle which touches the side of the triangleis given by R= A+ B+ C/2 |
Answer» PLS MARK ME BRAINLIESTStep-by-step explanation: Let the CIRCLE touches sides AB,BC and CA at F,D and E RESPECTIVELY where AB=c,BS=a and AC=b Length of the tangents drawn from an external point are equal. AE=AF BD=BF CE=CD=r b−r=AF a−r=BF So, AB=AF+BF c=b−r+a−r c=a+b−2r 2r=a+b−c r=2a+b−c |
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