Question

1. 5√8
2. given a right triangle with legs of 24 cm, find the length of the hypo

Explanation:

Step1: Recall Pythagorean theorem

For a right - triangle with legs \(a\) and \(b\) and hypotenuse \(c\), \(c^{2}=a^{2}+b^{2}\). Here \(a = b=24\) cm.

Step2: Substitute values into formula

\(c^{2}=24^{2}+24^{2}=576 + 576=1152\).

Step3: Solve for \(c\)

\(c=\sqrt{1152}\). Simplify \(\sqrt{1152}=\sqrt{576\times2}=24\sqrt{2}\) cm.

Answer:

\(24\sqrt{2}\text{ cm}\)