Question

9. Look at triangle RST below.

Which side of the triangle is the longest?

Answer 1

ST is longest

Explanation:

• Theorem:
• If one side of a triangle is longer than another side, then the angle opposite the longer side will be larger than the angle opposite the shorter side

The values of the angles are:

• ∠S= 50°,
• ∠T= 60°,
• ∠R= 180°- (50°+60°)= 180° - 110° = 70°

Since ∠R is the largest angle, the side ST is longest