Question

ming, the geometry student, was using the converse of the pythagorean theorem to determine whether segments 9 inches, 12 inches, and 15 inches could form a right triangle. choose her conclusion.
yes, because (9^{2}+12^{2}=15^{2}).
no, because (15^{2}+12^{2}=9^{2}).
no, because (9^{2}+12^{2}=15^{2}).
yes, because (15^{2}+12^{2}=9^{2}).

Explanation:

Step1: Calculate \(9^{2}+12^{2}\)

$$
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$$

Step2: Calculate \(15^{2}\)

$$ 15^{2}=225 $$

Step3: Check the equality

Since \(9^{2}+12^{2}=225\) and \(15^{2}=225\), we have \(9^{2}+12^{2}=15^{2}\)

Answer:

Yes, because \(9^{2}+12^{2}=15^{2}\)