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

Explanation:

Step1: Identify the problem type

This is a right - triangle problem.

Step2: Apply the Pythagorean theorem

Let \(a = 9\) and \(b=12\). The Pythagorean theorem is \(c^{2}=a^{2}+b^{2}\), so \(c^{2}=9^{2}+12^{2}=81 + 144=225\).

Step3: Solve for \(c\)

Take the square root of both sides: \(c=\sqrt{225}=15\).

Answer:

D. 15 meters