Question

one of the legs of a right triangle measures 1 cm and the other leg measures 13 cm. find the measure of the hypotenuse. if necessary, round to the nearest tenth.

Explanation:

Step1: Recall Pythagorean theorem

For a right - triangle with legs \(a\) and \(b\) and hypotenuse \(c\), \(c^{2}=a^{2}+b^{2}\). Here \(a = 1\) cm and \(b = 13\) cm.

Step2: Substitute values into the formula

\(c^{2}=1^{2}+13^{2}=1 + 169=170\).

Step3: Solve for \(c\)

\(c=\sqrt{170}\approx 13.0\) (rounded to the nearest tenth).

Answer:

\(13.0\) cm