SOLUTION: Determine the area of a circle inscribed in a right triangle whose legs measure
8cm and 15 cm.
Algebra.Com
Question 254845: Determine the area of a circle inscribed in a right triangle whose legs measure
8cm and 15 cm.
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
For right triangles,
r = ab/(a+b+c)
c = sqrt(8^2 + 15^2) = 17
----------
r = 8*15/(8+15+17) = 120/40
r = 3 cm
---------
Area = pi*r^2 = 9*pi
Area =~ 28.274 sq cm
RELATED QUESTIONS
A circle inscribed in a right triangle whose legs are 8 and 15. What is the radius of... (answered by Alan3354)
A right triangle is inscribed in a circle with radius 26 cm. If the length of one of the... (answered by ikleyn)
A right triangle is inscribed in a circle with radius 26cm. If the length of one of the... (answered by josgarithmetic,MathTherapy)
Find the area of a square inscribed in a circle whose radius is 8cm. Thank... (answered by josgarithmetic,MathTherapy)
Determine the area of an equilateral triangle inscribed in a circle of radius 12... (answered by Greenfinch)
A right triangle having a 32.5 degree angle is inscribed in a circle with radius 42.5 cm. (answered by Alan3354)
A right triangle is inscribed in a circle of radius 7.5 cm. One of its sides is 15 cm... (answered by ankor@dixie-net.com,KMST)
find the area of a right triangle whose legs measure 5 and... (answered by tran3209)
Find the area of the largest right triangle that can be inscribed in a circle of radius... (answered by ikleyn)