Question

a triangle has sides with lengths of 29 miles, 43 miles, and 52 miles. is it a right triangle?
yes no
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Explanation:

Step1: Apply Pythagorean theorem

For a right triangle, $a^2 + b^2 = c^2$, where $c$ is the longest side. Here, $c=52$, $a=29$, $b=43$.

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

$29^2 + 43^2 = 841 + 1849 = 2690$

Step3: Calculate $c^2$

$52^2 = 2704$

Step4: Compare the two values

$2690
eq 2704$, so the theorem fails.

Answer:

no