Question

a triangle has sides with lengths of 24 yards, 32 yards, and 43 yards. is it a right triangle? yes no

Explanation:

Step1: Recall Pythagorean theorem

For a right - triangle with sides \(a\), \(b\) and hypotenuse \(c\), \(a^{2}+b^{2}=c^{2}\). Let \(a = 24\), \(b = 32\) and \(c = 43\).

Step2: Calculate \(a^{2}+b^{2}\)

\(a^{2}+b^{2}=24^{2}+32^{2}=576 + 1024=1600\).

Step3: Calculate \(c^{2}\)

\(c^{2}=43^{2}=1849\).

Step4: Compare

Since \(1600
eq1849\), i.e., \(a^{2}+b^{2}
eq c^{2}\).

Answer:

no