Find Side Lengths of Pythagorean Triangle ABC with Square DEFG Inscribed

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Discussion Overview

The discussion revolves around finding the side lengths of a Pythagorean triangle ABC, which has an area of 8214 and contains an inscribed square DEFG with side lengths of 60. The square's side DE is positioned along the hypotenuse of the triangle.

Discussion Character

  • Homework-related
  • Mathematical reasoning

Main Points Raised

  • One participant presents the problem of determining the side lengths of triangle ABC given its area and the dimensions of the inscribed square.
  • Several participants express confusion or seek clarification regarding the source of the problem, indicating a lack of context or reference.
  • There are humorous or sarcastic remarks made by participants, suggesting a light-hearted tone in parts of the discussion.

Areas of Agreement / Disagreement

The discussion appears to lack a clear consensus, with participants primarily focused on clarifying the problem rather than resolving it. There are no definitive solutions or agreements on the approach to take.

Contextual Notes

Participants do not provide specific assumptions or mathematical steps related to the problem, leaving the discussion somewhat open-ended and unresolved.

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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