5
QuizMultiple Choice

Pythagorean Theorem

Question 5 • Q5 Geometry New 2022

Summer looked at the formula for the Pythagorean Theorem, a2 + b2 = c2, she said that it didn’t matter which sides of a right triangle were a, b, and c. Is she correct?

Answer
A
Yes, she is correct.
B
No, a must be the shortest side, then b, and c is the longest side.
C
No, c must be the shortest side, then b, and a is the longest side.
D
No, a and b are interchangable, and c is the longest side.

Explanation

In the Pythagorean Theorem, a and b represent the two legs of the right triangle, and either leg can be assigned to either variable. The side c must represent the hypotenuse, which is opposite the right angle and is the longest side. Therefore, a and b are interchangeable, but c is not; choice D is correct.

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