Question

what is the length of the hypotenuse if a right triangle has legs of lengths 9 and 12? a. 15 b. 11 c. 9 d. 13

Explanation:

Step1: Apply Pythagorean theorem

$$c^2=a^2 + b^2$$
where \(a = 9\), \(b = 12\), and \(c\) is the hypotenuse.

Step2: Substitute values

$$c^2=9^2+12^2$$
$$c^2 = 81+144$$
$$c^2=225$$

Step3: Solve for \(c\)

$$c=\sqrt{225}$$
$$c = 15$$

Answer:

A. 15