Question

a triangle has sides with lengths of 45 centimeters, 63 centimeters, and 84 centimeters. is it a right triangle? yes no submit

Explanation:

Step1: Identify hypotenuse candidate

The longest side is 84 cm, so it would be the hypotenuse if it is a right triangle.

Step2: Apply Pythagorean theorem

Check if $45^2 + 63^2 = 84^2$
Calculate each term:
$45^2 = 2025$, $63^2 = 3969$, $84^2 = 7056$
Sum of squares of legs: $2025 + 3969 = 5994$

Step3: Compare sums

$5994
eq 7056$, so the theorem fails.

Answer:

no