Question

Pythagorean Theorem

Answer 1

Using the Pythagorean Theorem, a²+b² = c², if we plug these values in the left and right sides should be equal. 15² is 225, √207² is 207, and (12√3)² is 432. Adding 225 and 207, we get 432; both sides are equal, so this is a right triangle.
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Hope this helps!

Answer 2

Pythagorean Theorem: a^2+b^2=c^2

Plug in values.

15^2+sqrt(207)^2=(12sqrt(3))^2
225+207=432
432=432

Yes, this is a right triangle.