62
QuizMultiple Choice

Solving for Angle Measures of Right Triangles — Cumulative exam

Question 62 • *CR CCSS Math 2 S2 [M2960OX]

The distance between city A and city B is 22 miles. The distance between city B and city C is 54 miles. The distance between city A and city C is 51 miles.

Answer
A
an acute triangle, because 222 + 542 >512
B
an acute triangle, because 222 + 512 >542
C
an obtuse triangle, because 222 + 542 >512
D
an obtuse triangle, because 222 + 512 >542

Explanation

The longest side is 54 miles. To classify the triangle, compare its square with the sum of the squares of the other sides: 22² + 51² = 484 + 2,601 = 3,085, while 54² = 2,916. Since 3,085 is greater than 2,916, the triangle is acute, so choice B is correct.

AI-written and checked against the verified answer.

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