Question

for the following right triangle, find the side length x. round your answer to the nearest hundredth.

Explanation:

Step1: Apply Pythagorean theorem

For a right - triangle, \(a^{2}+b^{2}=c^{2}\), where \(c\) is the hypotenuse. Here, \(c = 25\), \(a = 20\), and \(b=x\). So, \(x^{2}+20^{2}=25^{2}\).

Step2: Simplify the equation

\(x^{2}+400 = 625\). Then, \(x^{2}=625 - 400\).

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

\(x^{2}=225\).

Step4: Solve for \(x\)

\(x=\sqrt{225}\).

Answer:

\(15.00\)