Question

1. true or false: the triangle is a right triangle.

15 m
9 m
12 m

Explanation:

Step1: Recall Pythagorean theorem

For a right triangle, \(a^2 + b^2 = c^2\), where \(c\) is the hypotenuse (longest side), and \(a, b\) are the legs. Here, legs are \(9\) m and \(12\) m, hypotenuse candidate is \(15\) m.

Step2: Calculate \(a^2 + b^2\)

\(9^2 + 12^2 = 81 + 144 = 225\)

Step3: Calculate \(c^2\)

\(15^2 = 225\)

Step4: Compare results

Since \(9^2 + 12^2 = 15^2\), the triangle satisfies the Pythagorean theorem.

Answer:

True