Question

the hypotenuse of a right triangle has a length of 14 units and a side that is 9 units long. which equation can be used to find the length of the remaining side? a x² = 14² - 9² b x² = 14² + 9² c x² = 14² - 9² d x² = 14²×9²

Explanation:

Step1: Recall Pythagorean theorem

In a right - triangle, \(c^{2}=a^{2}+b^{2}\), where \(c\) is the hypotenuse and \(a\) and \(b\) are the legs. If \(c = 14\) and \(a = 9\), and we want to find the other leg \(b\) (let \(b=x\)), then \(x^{2}=14^{2}-9^{2}\).

Answer:

B. \(x^{2}=14^{2}-9^{2}\)