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right right
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3√ is isn't
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Both of these are actually
one theorem called The Converse of the Pythagorean Theorem. acute acute obtuse obtuse
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4.2 6 The other two aren't necessary, in my opinion. < less acute
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two lines 5 a right perpendicular
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right acute obtuse
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a2 + b2 ? c2 ? (2√10)2 ? 40 41 > 40 ACUTE ∆ a2 + b2 ? c2 ? (3√61)2 ? 549 549 = 549 Right ∆
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> 11.3 15.5 > 11.3 Yes, these segments can form a triangle. ? 11.32 ? < Since c2 is greater than a2 + b2 the ∆ is Obtuse Since the sides of the triangle satisfy the Pythagorean Theorem it is a right ∆. Therefore, the 50in and 120in side must be perpendicular to each other. a2 + b2 = c2 = 1302 = 16900 16900 = 16900
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