SOLUTION: Using the Pythagorean Theorem, and having to leave my answer in simplest radical form, how might I do so with a triangle of unknown hypotenuse, a leg of 15, and a leg of the square

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Question 818996: Using the Pythagorean Theorem, and having to leave my answer in simplest radical form, how might I do so with a triangle of unknown hypotenuse, a leg of 15, and a leg of the square root of 145?
Any help is appreciated!
Found 2 solutions by josgarithmetic, ewatrrr:
Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!

For convenience, h = hypotenuse.





Recognize the divisibility by 10 and 2 and 5, but that will not help in any simplifcation.

or
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
 

Hi

 right triangle of unknown hypotenuse , 

a leg of 15, and a leg of the square root of 145?

Using the Pythagorean Theorem



  225 + 145 = x^2  

     x^2 = 370

     x =  Simplest Radical Form 

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