Is a triangle with side lengths of #sqrt(12), sqrt(7), and sqrt(5)# a right triangle?

1 Answer
George C.
Nov 10, 2015

Yes, it satisfies Pythagoras equation:

#(sqrt(12))^2 = (sqrt(5))^2 + (sqrt(7))^2#

So this is a right angled triangle with hypotenuse #sqrt(12)# and legs #sqrt(5)# and #sqrt(7)#

Explanation:

#(sqrt(5))^2 + (sqrt(7))^2 = 5+7 = 12 = (sqrt(12))^2#

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