Question

a triangle has sides with lengths of 25 miles, 39 miles, and 44 miles. is it a right triangle? yes no

Explanation:

Step1: Recall the Pythagorean theorem

For a right - triangle with sides \(a\), \(b\), and hypotenuse \(c\), \(a^{2}+b^{2}=c^{2}\). Let \(a = 25\), \(b = 39\), \(c = 44\) (since \(44>39>25\)).

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

\(a^{2}+b^{2}=25^{2}+39^{2}=625 + 1521=2146\)

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

\(c^{2}=44^{2}=1936\)

Step4: Compare \(a^{2}+b^{2}\) and \(c^{2}\)

Since \(2146
eq1936\) (i.e., \(a^{2}+b^{2}
eq c^{2}\))

Answer:

no