Question

in a right triangle, one leg is 9 feet and another leg is 15 feet. what is the length of the hypotenuse then? enter the value. you do not need to enter the units. round to the nearest tenth if necessary.

Explanation:

Step1: Apply Pythagorean theorem

$$a^{2}+b^{2}=c^{2}$$, where \(a = 9\), \(b = 15\), and \(c\) is the hypotenuse.

Step2: Substitute values

$$9^{2}+15^{2}=c^{2}$$
$$81 + 225=c^{2}$$
$$306=c^{2}$$

Step3: Solve for \(c\)

$$c=\sqrt{306}\approx17.5$$

Answer:

17.5