The following numbersrepresent the side lengths of atriangle. Classify the triangle asacute, obtuse or right: 13, 15, 16O AcuteO ObtuseO Right

Answered: The following numbers represent the…

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

Chapter3: Additional Topics In Trigonometry

Section: Chapter Questions

Problem 31CT

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The following numbers
represent the side lengths of a
triangle. Classify the triangle as
acute, obtuse or right: 13, 15, 16
O Acute
O Obtuse
O Right

Expert Solution

Step 1

we have to classify the triangles as acute , obtuse or right.

Given that the sides of triangle are a=13, b=15 and c=16

we know that triangle have sides a, b and c , then

$I f a^{2} + b^{2} > c^{2}, t h e n i t i s a a c u t e t r i a n g l e I f a^{2} + b^{2} = c^{2}, t h e n i t i s a r i g h t t r i a n g l e I f a^{2} + b^{2} < c^{2}, t h e n i t i s a o b t u s e t r i a n g l e$

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