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, \(a^2 + b^2 = c^2\), where \(a\) and \(b\) are legs, \(c\) is hypotenuse.
Here, \(a = 1\), \(b = 13\).

Step2: Substitute values into formula

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

Step3: Solve for \(c\)

\(c=\sqrt{170}\approx13.0\) (rounded to nearest tenth)

Answer:

The measure of the hypotenuse is approximately \(\boldsymbol{13.0}\) cm.