Find Side Lengths of Pythagorean Triangle ABC with Square DEFG Inscribed

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SUMMARY

The discussion focuses on calculating the side lengths of a Pythagorean triangle ABC with an area of 8214, which has a square DEFG inscribed within it, where each side of the square measures 60 units. The square's side DE is positioned along the hypotenuse of the triangle. The objective is to derive the lengths of the triangle's sides based on the given area and the dimensions of the inscribed square.

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Wilmer
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Pythagorean triangle ABC with area 8214
has square DEFG with sides = 60 inscribed in it.
Side DE of the square lies on the hypotenuse.
Find the triangle's side lengths.
Code: 
B

         E                     D

F
C         G                               A
 
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In case I lose it!
a = BC, b = AC, c = AB, d = square side
Formula:
d = abc / (a^2 + b^2 + ab)

Solution: a = 111, b = 148, c = 185

111 * 148 / 2 = 8214
 
Wilmer said:
Formula:
d = abc / (a^2 + b^2 + ab)

Where did you get it?
 
Monoxdifly said:
Where did you get it?
Made it up...
 
Duh...
 
Monoxdifly said:
Duh...
Deaf Upon Hearing ?
 
Wilmer said:
Deaf Upon Hearing ?

Dumb Upon Hearing
 

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