A right triangle is inscribed in a circle.

A right triangle is inscribed in a circle. The legs of the triangle have lengths 6 and 8. What is the diameter of the circle?

Quiz

Answer/Solution

10

Steps/Work

Property of a right triangle inscribed in a circle is that when an angle is made from diameter of the circle, it is a right triangle. Or if a right triangle is made inscribed in a circle, its its longest side is the diameter of the circle.
Hence diameter= (6^2+8^2)^1/2= 10
D is the answer

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A right triangle is inscribed in a circle. The legs of the triangle have lengths and . What is the diameter of the circle?

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