**Title: Angle Ordering in a Triangle****Objective:** Order the angles from least to greatest.**Diagram Description:**The diagram depicts a triangle labeled $ \triangle NQR $ with the following side lengths:- $ NQ = 21 \, \text{m} $- $ NR = 24 \, \text{m} $- $ QR = 17 \, \text{m} $**Task:**Using the side lengths provided, determine the order of the angles from least to greatest. The listed angles for consideration are:1. $ \angle Q $2. $ \angle R $3. $ \angle N $The exercise involves applying the properties of triangles, such as the triangle inequality theorem, to analyze the relationship between side lengths and the corresponding opposite angles.

In a triangle as the length of the side increases the angle opposite to that side also increases.…

Answered: Order the angles from least to…

Math

Geometry

Order the angles from least to greatest. 21 m 24 m 17 m

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter10: Measurement, Area, And Volume

Section10.1: Triangles

Problem 1C

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Concept explainers

Angles

In mathematics, angles constitute a very important part. Just like the concept of lines, an angle is a necessary figure that is used for measurement. How do you define its formation? It is formed when two or more lines meet at a point. The point at which two or more lines meet is known as the vertex. When the lines get inclined at this point, they do form various angles. Angles are measured from the vertex in terms of degrees.

Question

**Title: Angle Ordering in a Triangle**

**Objective:** Order the angles from least to greatest.

**Diagram Description:**

The diagram depicts a triangle labeled $ \triangle NQR $ with the following side lengths:

- $ NQ = 21 \, \text{m} $
- $ NR = 24 \, \text{m} $
- $ QR = 17 \, \text{m} $

**Task:**

Using the side lengths provided, determine the order of the angles from least to greatest. The listed angles for consideration are:

1. $ \angle Q $
2. $ \angle R $
3. $ \angle N $

The exercise involves applying the properties of triangles, such as the triangle inequality theorem, to analyze the relationship between side lengths and the corresponding opposite angles.

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