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 \(a = 9\), \(b = 11\), and \(c=x\). So \(x^{2}=9^{2}+11^{2}\).

Step2: Calculate \(9^{2}+11^{2}\)

\(9^{2}=81\), \(11^{2}=121\). Then \(x^{2}=81 + 121=202\).

Step3: Solve for \(x\)

\(x=\sqrt{202}\approx14.21\)

Answer:

\(14.21\)