Question

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

Explanation:

Step1: Apply Pythagorean theorem

In a right - triangle, \(a^{2}+b^{2}=c^{2}\), where \(a = 9\), \(b = 10\), and \(c=x\).
So, \(x^{2}=9^{2}+10^{2}\).

Step2: Calculate \(9^{2}+10^{2}\)

\(9^{2}=81\), \(10^{2}=100\). Then \(x^{2}=81 + 100=181\).

Step3: Solve for \(x\)

\(x=\sqrt{181}\approx13.45\)

Answer:

\(13.45\)