Question

a triangle has sides with lengths of 16 yards, 63 yards, and 65 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, $c=65$, $a=16$, $b=63$.

Step2: Calculate $a^2 + b^2$

$16^2 + 63^2 = 256 + 3969 = 4225$

Step3: Calculate $c^2$

$65^2 = 4225$

Step4: Compare the two values

$4225 = 4225$, so the theorem holds.

Answer:

yes