For a triangle with sides 6 m, 8 m, and 10 m, the smallest circle that contains the triangle has a diameter of
A) 6 m
B) 8 m
C) 10 m
D) 14 m
E) 12 m

Question

Quizplus · Accepted Answer

The triangle with sides 6 m, 8 m, and 10 m is a right-angled triangle (Pythagorean triple). The smallest circle that contains this triangle is the circumcircle, whose diameter is the hypotenuse of the triangle, which is 10 m.

For a Triangle with Sides 6 M, 8 M, and 10