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When hypotinues and perimeter of a right angle ...

when hypotinues and perimeter of a right angle triangle is given how do we find area


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Bye, Son!

Victims of circumstance owe it to fate. Victims of choice owe it to themselves.

For purposes of discussion, I will use a 3-4-5 right triangle.

The hypoteneuse is 5. The perimeter is 12. The sum of the two short sides is 12 - 5 = 7. Let x equal one of the short sides.

x^2 +(7-x)^2 = 25

2x^2 -14x +49 = 25

x^2 -7x +24 = 0

(x-3)(x-4) = 0

x = 3 and x = 4

JayR

Posted 2008-10-22T13:57:53Z
 
1 helpful answer

You have 2 equations

Pythagoras theorem - say A and B are sides and H is hypteneuse

A^2 + B^2 = H^2

You know H (Given Constant)

B = Perimeter(Given) - H(Given) -A

Plug value of B and H into first equation...

I hope I am not helping you with your homework

Posted 2008-10-24T17:20:48Z
Bhaskar Chatterjee was invited by Yedda to answer this question.

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