Question

1. in a triangular park, two sides measure 9 meters and 12 meters. if the angle between these sides is 90 degrees, what is the length of the longest side?

a. 16 meters
b. 14 meters
c. 18 meters
d. 15 meters

Explanation:

Step1: Identify right triangle sides

The two given sides ($a=9$ m, $b=12$ m) are legs of a right triangle, with the longest side being the hypotenuse $c$.

Step2: Apply Pythagorean theorem

$$c = \sqrt{a^2 + b^2}$$

Step3: Substitute values and calculate

$$c = \sqrt{9^2 + 12^2} = \sqrt{81 + 144} = \sqrt{225} = 15$$

Answer:

d. 15 meters