J6bysocs1heek J6bysocs1heek

14-09-2016
Mathematics

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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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ayset163 ayset163

14-09-2016

The triangle is obtuse.

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HomertheGenius HomertheGenius

15-09-2016

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.

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