Find max area of rectangle inside a right triangle.

  • #1
101
0

Homework Statement


Find the area of the largest rectangle that can be inscribed in a right triangle with legs adjacent to the right angle of lengths 5cm and 12cm.
the two sides of the rectangle lie along the legs.


Homework Equations



N/a

The Attempt at a Solution



qsrqzl.jpg
 

Answers and Replies

  • #2
tiny-tim
Science Advisor
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Hi Brown Arrow! :smile:

(pleeeeeeease don't post such wide pictures! :redface:)
I don't get why he did the ratio …

he wanted an equation relating x and y, and he got it by comparing the two similar triangles :wink:
 
  • #3
101
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yea sorry about that could figure out how to shrink it :redface:
 
  • #4
SammyS
Staff Emeritus
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Homework Helper
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Now solve the ratio equation for x or y & plug the result into the expression for area.
 

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