Question

a triangle has sides with lengths of 10 millimeters, 38 millimeters, and 44 millimeters. 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, $c=44$, $a=10$, $b=38$.

Step2: Calculate left-hand side

$10^2 + 38^2 = 100 + 1444 = 1544$

Step3: Calculate right-hand side

$44^2 = 1936$

Step4: Compare both sides

$1544
eq 1936$, so the theorem fails.

Answer:

no