Question

a triangle has sides with lengths of 83 meters, 96 meters, and 58 meters. is it a right triangle?
yes
no

Explanation:

Step1: Recall Pythagorean theorem

For a right triangle, \(a^2 + b^2 = c^2\) (where \(c\) is the longest side). Here, longest side is 96, so check if \(83^2 + 58^2 = 96^2\).

Step2: Calculate \(83^2\)

\(83^2 = 83\times83 = 6889\)

Step3: Calculate \(58^2\)

\(58^2 = 58\times58 = 3364\)

Step4: Sum of squares

\(6889 + 3364 = 10253\)

Step5: Calculate \(96^2\)

\(96^2 = 96\times96 = 9216\)

Step6: Compare

Since \(10253
eq9216\), it's not a right triangle.

Answer:

no