4
QuizMultiple Choice

Triangle Classification Theorems

Question 4 • RMA FL-1206310-Geometry Semester 2

Which best explains whether a triangle with side lengths 2 in., 5 in., and 4 in. is an acute triangle?

Answer
A
The triangle is acute because 22 + 52 > 42.
B
The triangle is acute because 2 + 4 > 5.
C
The triangle is not acute because 22 + 42 < 52.
D
The triangle is not acute because 22 < 42 + 52.

Explanation

For a triangle with side lengths 2, 4, and 5, compare the square of the longest side with the sum of the squares of the other two. Since 2² + 4² = 20, which is less than 5² = 25, the triangle is obtuse, not acute. Choice C correctly describes this comparison.

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