Question

find the length of the missing side. provide an answer accurate to the nearest tenth. 17 inches 24 inches

Explanation:

Step1: Apply Pythagorean theorem

For a right - triangle with legs \(a = 17\) and \(b = 24\), and hypotenuse \(c\), the Pythagorean theorem is \(c=\sqrt{a^{2}+b^{2}}\).
Substitute \(a = 17\) and \(b = 24\) into the formula: \(c=\sqrt{17^{2}+24^{2}}\).

Step2: Calculate \(a^{2}\) and \(b^{2}\)

\(17^{2}=17\times17 = 289\), \(24^{2}=24\times24=576\).
Then \(a^{2}+b^{2}=289 + 576=865\).

Step3: Find the square root

\(c=\sqrt{865}\approx29.4\)

Answer:

\(29.4\) inches