SOLUTION: Determine the area of a circle inscribed in a right triangle whose legs measure 8cm and 15 cm.
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Question 254845
:
Determine the area of a circle inscribed in a right triangle whose legs measure
8cm and 15 cm.
Answer by
Alan3354(69443)
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For right triangles,
r = ab/(a+b+c)
c = sqrt(8^2 + 15^2) = 17
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r = 8*15/(8+15+17) = 120/40
r = 3 cm
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Area = pi*r^2 = 9*pi
Area =~ 28.274 sq cm