Question

a triangle has sides with lengths of 9 yards, 12 yards, and 15 yards. is it a right triangle? yes no submit

Explanation:

Step1: Apply Pythagorean theorem

For a right triangle, $a^2 + b^2 = c^2$, where $c$ is the longest side. Here, $a=9$, $b=12$, $c=15$.

Step2: Calculate left-hand side

$9^2 + 12^2 = 81 + 144 = 225$

Step3: Calculate right-hand side

$15^2 = 225$

Step4: Compare both sides

$225 = 225$, so the theorem holds.

Answer:

yes