find the radius of the incircle of a triangle whose sides are 15,20,25
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The radius of the incircle is r = 5.
Step-by-step explanation:
This is a right triangle because:
15^2 + 20^2 = 25^2
225 + 400 = 625
So the area of the triangle: A = a * b / 2 = 15 * 20 / 2 = 150
Also A = r * s
s = ( a + b + c ) / 2 = ( 15 + 20 + 25 ) / 2 = 60 / 2 = 30
150 = r * 30
r = 150 : 30 = 5
sakshipoojary34:
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