shell9amahbhansmine shell9amahbhansmine

15-08-2016
Mathematics

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Using Pythagorean inequalities, determine which of the following sets of values could represent the lengths of the sides of an obtuse triangle.

A. 11, 12, 22
B. 5, 12, 13
C. 7, 8, 9
D. 5, 6, 1

Respuesta :

HomertheGenius HomertheGenius

18-08-2016

We have to plug in each set into the Pythagorean theorem:
A ) 11² + 12² ? 22²
121 + 144 ? 484
265 < 484 ( obtuse )
B ) 5² + 12² ? 13²
25 + 144 = 169 ( right triangle )
C ) 7² + 8² ? 9²
49 + 64 ? 81
113 > 81 ( acute )
D ) 1 + 5 = 6 ( not a triangle )
Answer : A ) 11, 12, 22

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