Question

a triangle has sides with lengths of 30 centimeters, 75 centimeters, and 78 centimeters. 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, $c=78$, $a=30$, $b=75$.

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

$30^2 + 75^2 = 900 + 5625 = 6525$

Step3: Calculate $c^2$

$78^2 = 6084$

Step4: Compare the two values

$6525
eq 6084$, so the theorem fails.

Answer:

no