Suppose the interior angles of a triangle are φ1,φ₂,and φ₃,with φ1 φ₂_ φ₃.Which side of the triangle is the shortest? A)The side opposite φ1. B)The side opposite φ₂. C)The side opposite φ₃. D)More information is needed unless the triangle is a right triangle.

Question

Suppose the interior angles of a triangle are φ1,φ₂,and φ₃,with φ1 > φ₂_> φ₃.Which side of the triangle is the shortest? A)The side opposite φ1. B)The side opposite φ₂. C)The side opposite φ₃. D)More information is needed unless the triangle is a right triangle.

Quizplus · Accepted Answer

In any triangle, the shortest side is opposite the smallest angle. Since φ1 > φS1U1B12S1U1B0S1U1B1 > φS1U1B13S1U1B0, the angle opposite the shortest side is φS1U1B13S1U1B0. Therefore, the side opposite φS1U1B13S1U1B0 is the shortest.

Suppose the Interior Angles of a Triangle Are φ1,φ2,and φ3,with

Suppose the Interior Angles of a Triangle Are φ1,φ₂,and φ₃,with