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In a right-angled triangle the radius of the inscribed circle is 9 and the radius of the circumscribed circle is 37.5. Find the perimeter of the triangle.
- 168
- 150
- 120
- 180
Correct answer: 168
Solution
In a right triangle the circumradius is half the hypotenuse, and the inradius relates the two legs and hypotenuse by r = (a + b - c)/2. Combining gives the perimeter directly.
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