6
QuizMultiple Choice

Unknown Leg Lengths in Right Triangles — Quiz

Question 6 • Foundations of Math 1

Ilya builds a slide that is 2 point 9 meters long. It is 1 point 5 meters above the ground. He wants to determine the distance from the bottom of the slide to the base of the ladder leading up to the slide. Which diagram represents this situation?

Answer
A
Image with description A right triangle is shown. The vertical leg is labeled 1 point 5 meters. The hypotenuse is labeled 2 point 9 meters.
B
Image with description A right triangle is shown. The vertical leg is labeled 2 point 9 meters. The horizontal leg is labeled 1 point 5 meters.
C
Image with description A right triangle is shown. The vertical leg is labeled 2 point 9 meters. The hypotenuse is labeled 1 point 5 meters.
D
Image with description A right triangle is shown. The vertical leg is labeled 1 point 5 meters. The horizontal leg is labeled 2 point 9 meters.

Explanation

The slide is the slanted side of the right triangle, so its length of 2.9 meters belongs on the hypotenuse. The height above the ground is the vertical leg, labeled 1.5 meters. The horizontal distance from the bottom of the slide to the ladder’s base is the remaining leg, so diagram A represents the situation.

AI-written and checked against the verified answer.

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