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A triangle has side lengths of 24in., 32in., and 40in. Is the triangle acute, obtuse, or right?
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1 vote
A triangle has side lengths of 24in., 32in., and 40in. Is the triangle acute, obtuse, or right?

User Tim Dierks
by
7.8k points

2 Answers

4 votes
The triangle is obtuse.
User Nfroidure
by
7.5k points
2 votes
We will use the Pythagorean theorem:
40² = 1600
24² = 576
32² = 1024
40² = 24² + 32²
1600 = 576 + 1024
1600 = 1600
Also:
24 : 32 : 40 = 3 : 4 : 5
Answer: this is the right triangle.
User JMoura
by
8.0k points
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