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Let ABC be a triangle with\angle BAC = 90. A circle is tangent to the sides AB and AC at X and Y respectively, such that the points on the circle diametrically opposite X and Y both lie on the side BC. Given that AB = 6, find the perimeter of the portion of the circle that lies outside the triangle.

 

 Oct 2, 2021
 #1
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Perimeter = pi√8

 Oct 2, 2021
 #2
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P = pi + √8 smiley

Guest Oct 3, 2021

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