Question

if the legs of a right triangle are 5 units and 12 units, what is the length of the hypotenuse? a. 13 units b. 14 units c. 10 units d. 15 units

Explanation:

Step1: Apply Pythagorean theorem

$$c^2=a^2 + b^2$$
where \(a = 5\), \(b=12\), \(c\) is hypotenuse.

Step2: Substitute values

$$c^2=5^2+12^2=25 + 144=169$$

Step3: Solve for \(c\)

$$c=\sqrt{169}=13$$

Answer:

A. 13 units