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AssignmentMultiple Choice

Exploring the Pythagorean Theorem

Question 1 • MISD-Geometry-RECOVERY-B-2019-2020

Which scenarios involves right triangles?

Answer
A
Wyatt walked 6 meters in a northerly direction, 9 meters in an easterly direction, and 12 meters back to his starting point.
B
A window frame has a width of 3 feet, a height of 4 feet, and a diagonal of feet.
C
The three lengths of a triangular sail are 12 feet, 16 feet, and 20 feet.
D
A triangular bike path has lengths of 6 miles, 9 miles, and 10 miles.

Explanation

A triangle is a right triangle when the squares of its two shorter sides add to the square of its longest side. For the sail, 12² + 16² = 144 + 256 = 400, and 20² = 400, so it is a right triangle. The other listed lengths do not establish a right triangle; the window-frame diagonal is missing its measurement.

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