Question

a triangle has sides with lengths of 36 yards, 55 yards, and 64 yards. is it a right triangle? yes no

Explanation:

Step1: Recall Pythagorean theorem

For a right - triangle with side lengths $a$, $b$, and hypotenuse $c$, $a^{2}+b^{2}=c^{2}$. Let $a = 36$, $b = 55$, and $c = 64$. First, calculate $a^{2}+b^{2}$.
$a^{2}+b^{2}=36^{2}+55^{2}=1296 + 3025=4321$.

Step2: Calculate $c^{2}$

$c^{2}=64^{2}=4096$.

Step3: Compare

Since $a^{2}+b^{2}=4321$ and $c^{2}=4096$, and $a^{2}+b^{2}
eq c^{2}$, the triangle is not a right - triangle.

Answer:

no