6
QuizMultiple Choice

Triangle Classification Theorems — Quiz

Question 6 • Geometry

Which best explains whether a triangle with side lengths 5 cm, 13 cm, and 12 cm is a right triangle?

Answer
A
The triangle is not a right triangle because 5 plus 12 is greater than 13 .
B
The triangle is a right triangle because 5 squared plus 12 squared is equal to 13 squared .
C
The triangle is not a right triangle because 5 squared plus 13 squared is greater than 12 squared .
D
The triangle is a right triangle because 5 plus 13 is greater than 12 .

Explanation

The Pythagorean theorem says a triangle is a right triangle if the squares of its two shorter sides add to the square of its longest side. Here, 5² + 12² = 25 + 144 = 169, and 13² = 169. Therefore, the triangle is a right triangle, as choice B states.

AI-written and checked against the verified answer.

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