Question

a triangle has sides with lengths of 5 miles, 5 miles, and 8 miles. is it a right triangle? yes no submit

Explanation:

Step1: Recall Pythagorean theorem

For a right triangle, $a^2 + b^2 = c^2$, where $c$ is the longest side.

Step2: Assign values to variables

Let $a=5$, $b=5$, $c=8$.

Step3: Calculate left-hand side (LHS)

$5^2 + 5^2 = 25 + 25 = 50$

Step4: Calculate right-hand side (RHS)

$8^2 = 64$

Step5: Compare LHS and RHS

$50
eq 64$, so the theorem fails.

Answer:

no