Using the Pythagorean Theorem, is a triangle with sides abc a right triangle? #a=12, b=9, c=15#

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Answer 1 · 2018-07-02T13:46:34

Yes. It’s a right triangle.

As per Pythagoras theorem,
#sqrt(3^2 + 4^2) = sqrt25 = 5#

If the sides are in the ratio 3 : 4 : 5, then the triangle is a right triangle.

In the given sum, sides are in the ratio, 9 : 12 : 15 which is equivalent to 3 : 4 : 5.

Hence it’s aright triangle as per Pythagoras theorem.

Answer 2 · 2018-07-02T16:49:11

#12^2+9^2=15^2#

#144+81=225#

#225=225#

Yes it is a Pythagorean triangle