Question

1. solve for x. round to the nearest hundredth. 26.00 in 14.22 in 8.00 in 19.23 in

Explanation:

Step1: Apply Pythagorean theorem

For a right - triangle, \(a^{2}+b^{2}=c^{2}\), where \(a = 9\), \(b = 17\), and \(c=x\).
So, \(x=\sqrt{9^{2}+17^{2}}\).

Step2: Calculate \(9^{2}+17^{2}\)

\(9^{2}=81\), \(17^{2}=289\). Then \(9^{2}+17^{2}=81 + 289=370\).

Step3: Find the square root of 370

\(x=\sqrt{370}\approx19.23\) (rounded to the nearest hundredth).

Answer:

\(19.23\) in