Question

ABC is a right-angled triangle, right angled at A. The lengths of two sides containing the right angle are
24 cm and 10 cm. A circle is inscribed in it. Find the radius of the circle.please give an correct answer​

Answer 1

given :- ABC is right angled at A ..i.e

.angle BAC =90°

to prove:- radius of circle

proof :- in triangle ABC ( by pythagoras theorm)

(H)^=(P)^+(B)^

(24)^=(10)^+(B)^

576=100+(B)^

576-100=(B)^

476 = (B)^

B = √476

if base of triangle ABC is √476 i.e the diameter of the circle will be √476

hence radius of circle is √476 /2

hope this will help u

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