6
AssignmentMultiple Select

Triangles and Their Side Lengths

Question 6 • AZ-Geometry A (MA201)

Pat is at a right angle from Chris and Jaime, and Chris is at a 48° angle from Pat and Jaime. Which statements are true? Check all that apply.

Answer
A
Jaime is at the smallest angle from the two friends.
B
Pat is at an angle of 90° to Chris and Jaime.
C
The path between Jaime and Chris is the shortest because it is adjacent to the smallest angles.
D
If they meet at Pat’s entrance, then Chris will have walked a shorter distance than Jaime.
E
If they meet at Jaime’s entrance, then Pat will have walked a longer distance than Chris.

Explanation

The three angles in a triangle add to 180°. Pat’s angle is 90° and Chris’s is 48°, so Jaime’s angle is 180° − 90° − 48° = 42°. Jaime therefore has the smallest angle, and Pat’s angle is 90°. The side opposite the smaller angle is shorter: when they meet at Pat’s entrance, Chris’s path to Pat is shorter than Jaime’s. The path between Jaime and Chris is opposite the largest angle, so it is the longest, not the shortest; and when they meet at Jaime’s entrance, Pat walks less than Chris.

AI-written and checked against the verified answer.

Previous
Next