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There is a right triangle ABC. Square XBYZ is inscribed in it, where Z is touching AC and XB is on AB. If [XBYZ] = 36, then what are the side lengths of the triangle?

 Oct 26, 2020
 #1
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The sides of the triangle are 5, 12, and 13.

 Oct 26, 2020
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Be careful guest, 5<6!

Pangolin14  Oct 26, 2020
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There is a right triangle ABC. Square XBYZ is inscribed in it, where Z is touching AC and XB is on AB. If [XBYZ] = 36, then what are the side lengths of the triangle?

 

Since the type of right triangle is not specified we may use an isosceles right triangle.

 

The sides of that triangle are 12, 12, and  4√18

 Oct 26, 2020

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