Question

question 9 of 10
suppose a triangle has sides 3, 4, and 5. which of the following must be true?
a. the triangle in question is a right triangle.
b. the triangle in question may or may not be a right triangle.
c. the triangle in question is not a right triangle.

Explanation:

Step1: Apply the Pythagorean theorem

The Pythagorean theorem states that for a right - triangle with sides \(a\), \(b\) (the two shorter sides) and hypotenuse \(c\), \(a^{2}+b^{2}=c^{2}\).
Let \(a = 3\), \(b = 4\) and \(c = 5\).
Calculate \(a^{2}+b^{2}\): \(3^{2}+4^{2}=9 + 16=25\).
Calculate \(c^{2}\): \(5^{2}=25\).

Answer:

A. The triangle in question is a right triangle.