Questions: Question 5 of 10 Which side of triangle XYZ is the longest? A. XY B. xz C. sqrt(2) D. Cannot be determined
Transcript text: Question 5 of 10
Which side of $\triangle X Y Z$ is the longest?
A. $\overline{X Y}$
B. $\overline{x z}$
C. $\overline{\sqrt{2}}$
D. Cannot be determined
Solution
Solution Steps
Step 1: Find the missing angle
The angles in a triangle add up to 180°. We are given two angles, 60° and 43°. Therefore, the third angle is 180° - 60° - 43° = 77°.
Step 2: Determine the longest side
The longest side of a triangle is opposite the largest angle. Since the largest angle is 77° (angle Y), the longest side is the one opposite it, which is XZ.