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Unknown Leg Lengths in Right Triangles

Question 12 • ELPGEQ1 M/J Grade 8 Pre-Algebra - 1205070 HCPS V24

A ladder that is 22 feet long is propped up against a 15-foot-tall building. Use the drop downs to answer the following questions.What is the unknown information that could be found using the Pythagorean theorem?

Answer
A
Hypotenuse, the length of the ladder.
B
Leg, distance from the wall to the base of the ladder.
C
Leg, height of the building.

Explanation

The ladder, wall, and ground form a right triangle. The ladder is the hypotenuse (22 feet) and the building’s height is one leg (15 feet), so the unknown distance from the wall to the ladder’s base is the other leg, found with the Pythagorean theorem.

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