SOLUTION: an isosceles right triangle is inscribed in a circle. Find the radius of the circle if one leg of the triangle is 8 cm.

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Question 1018726: an isosceles right triangle is inscribed in a circle.
Find the radius of the circle if one leg of the triangle is 8 cm.
Answer by ikleyn(52814) About Me  (Show Source):
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an isosceles right triangle is inscribed in a circle.
Find the radius of the circle if one leg of the triangle is 8 cm.
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Any right-angled triangle inscribed into the circle has the diameter as the hypotenuse.

Therefore, in our case the diameter of the circle is sqrt%288%5E2+%2B+8%5E2%29 = sqrt%28128%29 = 8%2Asqrt%282%29 cm.

Hence, the radius is half of that, i.e. 4%2Asqrt%282%29 cm.