Math, asked by mishraboss, 1 year ago

if the hypotenuse of an isosceles right triangle is 7 root 2 centimetre find the area of the circle inscribed in it

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Answered by NaviMaan
36
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Answered by aishwaryaX
0

Answer:

13.21cm²

Step-by-step explanation:

AC=7√2 therefore AB and BC= 7 [pythagoras}

radius of a circle inscribed in a right triangle is

(perpendicular+base-hypotenuse)x 1/2

r= [7+7-7√2]x1/2

r= 7(2-√2)x1/2

ar of inscribed circle= 22/7x7²x(2-√2)²= 77/2x(2-√2)²= 13.21cm²

                                 

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