Question

22 multiple choice 2 points if the lengths of the legs of a right triangle are 5 and 12, what is the length of the hypotenuse? 13 17 $sqrt{17}$ $sqrt{119}$ 23 multiple choice 2 points what is the measure of angle r?

Explanation:

Step1: Apply Pythagorean theorem

For a right - triangle with leg lengths \(a = 5\) and \(b = 12\), the Pythagorean theorem is \(c^{2}=a^{2}+b^{2}\), where \(c\) is the length of the hypotenuse.
Substitute \(a = 5\) and \(b = 12\) into the formula: \(c^{2}=5^{2}+12^{2}\).

Step2: Calculate squares

\(5^{2}=25\) and \(12^{2}=144\), so \(c^{2}=25 + 144=169\).

Step3: Find the square - root

Take the square - root of both sides: \(c=\sqrt{169}=13\).

Answer:

13