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Converse of the Pythagorean Theorem
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PSAT Prep
155 Converse of the Pythagorean Theorem
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A triangular map region has boundary lengths 30, 42, and 61 miles. What type of triangle is modeled?
A
Obtuse, because the two smaller squared side lengths satisfy 900 + 1764 < 3721
B
Right, because the two smaller squared side lengths satisfy 900 + 1764 = 3721
C
Not a triangle, because the side lengths fail the triangle inequality
D
Acute, because the two smaller squared side lengths satisfy 900 + 1764 > 3721
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