Question

if triangle def has sides measuring 50, 40, and 32, is the triangle a right triangle? if it is a right triangle, answer with the number 90. if it is not a right triangle, answer with the number 0. (1 point)

Explanation:

Step1: Recall the Pythagorean theorem

For a right - triangle with sides \(a\), \(b\), and hypotenuse \(c\), \(a^{2}+b^{2}=c^{2}\). Let \(c = 50\) (the longest side), \(a = 40\), \(b = 32\).

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

• Calculate \(a^{2}+b^{2}\):

\(a^{2}+b^{2}=40^{2}+32^{2}=1600 + 1024=2624\)

• Calculate \(c^{2}\):

\(c^{2}=50^{2}=2500\)

Answer:

\(0\)