Question

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. 15 meters
c. 14 meters
d. 18 meters

Explanation:

Step1: Identify the triangle type

It is a right - angled triangle (angle between sides is \(90^{\circ}\)).

Step2: Apply Pythagoras theorem

Let \(a = 9\), \(b=12\). By Pythagoras theorem \(c=\sqrt{a^{2}+b^{2}}\), where \(c\) is the hypotenuse (longest side).

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Answer:

B. 15 meters