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

Question

Mathematics

Sterling Vega

29 July, 22:30

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

+5

Answers (1)

Know the Answer?

Helena Sexton · Answer 1

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

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

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