The triangle shown has sides a, b, and c. Given that the measurements of a = 3 m, b = 4 m, and c = 5 m, which of these statements is true?

A. The given triangle is a right triangle.
B. The given triangle is an isosceles triangle.
C. The given triangle is an acute triangle.
D. The given triangle is an obtuse triangle.

1 answer

A. The given triangle is a right triangle.

This is true because the sides of the triangle satisfy the Pythagorean Theorem: a^2 + b^2 = c^2
3^2 + 4^2 = 5^2
9 + 16 = 25
25 = 25

Therefore, the triangle with sides of 3m, 4m, and 5m is a right triangle.