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Help, I don't know how to work with right triangles here.

 

Let ABC be a right triangle, and let H be the point on side AB so that CH is perpendicular to AB.  Prove that (x + h)^2*(y + h)^2 = (a + b)^4.

 May 18, 2023
 #1
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The relationship should be 

\((x+h)^{2}+(y+h)^{2}=(a+b)^{2}\)

 May 18, 2023
 #2
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ABC is a right-angled triangle, the right angle being at C.

The altitude from C onto AB meets AB at H.

AH = x, HB = y, and CH = h.

Tiggsy  May 19, 2023

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