For a triangle with sides 7 m, 24 m, and 25 m, the smallest circle that contains the triangle has a diameter of
A) 7 m
B) 24 m
C) 25 m
D) 31 m
E) 28 m

Question

Quizplus · Accepted Answer

The triangle with sides 7 m, 24 m, and 25 m is a right-angled triangle (Pythagorean triple). The smallest circle that can contain this triangle is the circumcircle, whose diameter is the hypotenuse of the right-angled triangle, which is 25 m.

For a Triangle with Sides 7 M, 24 M, and 25