Question

question 9 of 10
△fgh is a right triangle.

a. true
b. false

Explanation:

Step1: Apply Pythagorean theorem

For a right - triangle, \(a^{2}+b^{2}=c^{2}\), where \(c\) is the hypotenuse (the longest side). Here, \(a = 6\), \(b=\sqrt{45}\), \(c = 9\).
Calculate \(a^{2}+b^{2}\): \(6^{2}+(\sqrt{45})^{2}=36 + 45=81\).
Calculate \(c^{2}\): \(9^{2}=81\).

Answer:

A. True