34. A triangle has side lengths 27,79, and 80. Classify it as an acute, obtuse, or right. ### Triangle Classification#### Problem Statement:A triangle has side lengths 27, 79, and 80. Classify it as acute, obtuse, or right.#### Answer Choices:A. Not enough info to tell B. Obtuse C. Right D. Acute#### Instructions to Students:To classify the given triangle, consider applying the properties of triangles and the Pythagorean theorem. Determine if the triangle is:- **Acute**: All angles are less than 90 degrees.- **Right**: One angle is exactly 90 degrees.- **Obtuse**: One angle is greater than 90 degrees.Evaluate by considering the lengths of the sides to see which type of triangle they form. This problem helps in understanding the fundamental concepts of triangle classification based on side lengths and angle measures.

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Answered: acute | bartleby

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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34. A triangle has side lengths 27,79, and 80. Classify it as an acute, obtuse, or right.

### Triangle Classification

#### Problem Statement:
A triangle has side lengths 27, 79, and 80. Classify it as acute, obtuse, or right.

#### Answer Choices:
A. Not enough info to tell
B. Obtuse
C. Right
D. Acute

#### Instructions to Students:
To classify the given triangle, consider applying the properties of triangles and the Pythagorean theorem. Determine if the triangle is:
- **Acute**: All angles are less than 90 degrees.
- **Right**: One angle is exactly 90 degrees.
- **Obtuse**: One angle is greater than 90 degrees.

Evaluate by considering the lengths of the sides to see which type of triangle they form.

This problem helps in understanding the fundamental concepts of triangle classification based on side lengths and angle measures.

Polygon with three sides, three angles, and three vertices. Based on the properties of each side, the types of triangles are scalene (triangle with three three different lengths and three different angles), isosceles (angle with two equal sides and two equal angles), and equilateral (three equal sides and three angles of 60°). The types of angles are acute (less than 90°); obtuse (greater than 90°); and right (90°).

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