Question

Find the area (in cm2 ) of a right triangle whose inradius is 4cm and circumradius is 10cm?

Answer 1

Answer:

96

Step-by-step explanation:

circumradius = h/2

a2 + b2 = h2

--> h = 20

inradius = (a + b - h)/2 = 4

(a+b-20) = 8

--> a+b = 28

a2 + b2 + 2ab = 784

20^2 + 2ab = 784

2 ab = 784- 400 = 384

--> ab/2 (area) = 384/  4 = 96

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