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The sides of triangle XYZ are XY = XZ = 25 and YZ = 50. A semicircle is inscribed in triangle XYZ so that its diameter lies on YZ and is tangent to the other two sides. Find the area of the semicircle.

 

 Jul 24, 2021
 #1
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Such a triangle is not possible

 

By the triangle inequality :

 

XY  +  XZ  must  be greater  than   YZ

 

But

 

25  +  25    =   50   =    YZ

 

 

cool cool cool   

 Jul 24, 2021

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