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fur2
fur2 Asked:

Math problem. In a triangle, the sum of two of ...

math problem.

 

In a triangle, the sum of two of the angles is equal to the third. If the lengths of the two longer sides are 12 and 13, what is the length of the shortest side?

 

I must help daughter show work. And making no sense from reading the examples in book.

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Answers

Ian
Ian Answered:


The angles in a triangle add up to 180 degrees.
If sum of two of the angles is equal to the third they must be 45, 45 and 90 degrees.
(To see this, try to make it work any other way).
In this right angled triangle let the unknown short side be x.
By Pythagoras x^2 +12^2 = 13^2
So x^2 = 169 - 144 = 25
x =5
Hope that helped,
Regards - Ian

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