Decide if the following could be sides of a triangle (yes or no). If yes, classify the triangles as acute, obtuse, or right. The provided image appears to be a part of a worksheet or an educational test. Below is the transcription suitable for an educational website:---**Determine if the Triangle is Acute, Obtuse, or Right:**Given the lengths of sides, determine the type of triangle they form. Follow the steps outlined to classify the triangle as acute, obtuse, or right. If the given lengths cannot form a valid triangle, state so.Example:Side lengths: 15.) 9, 14, 17---In this example problem, you are given three side lengths: 9, 14, and 17. Using these lengths, apply the triangle inequality theorem and other properties to determine the type of triangle.Note: There are no graphs or diagrams in the image to explain.

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Answered: Decide if the following could be sides…

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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Decide if the following could be sides of a triangle (yes or no). If yes, classify the triangles as acute, obtuse, or right.

The provided image appears to be a part of a worksheet or an educational test. Below is the transcription suitable for an educational website:

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**Determine if the Triangle is Acute, Obtuse, or Right:**

Given the lengths of sides, determine the type of triangle they form. Follow the steps outlined to classify the triangle as acute, obtuse, or right. If the given lengths cannot form a valid triangle, state so.

Example:
Side lengths: 15.) 9, 14, 17

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In this example problem, you are given three side lengths: 9, 14, and 17. Using these lengths, apply the triangle inequality theorem and other properties to determine the type of triangle.

Note: There are no graphs or diagrams in the image to explain.

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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