/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q17 The lengths of sides of a triang... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 3: Q17 (page 97)

The lengths of sides of a triangle are 4n,2n+10and 7n-15. Is there a value of n that makes the triangle equilateral? Explain.

Short Answer

Expert verified

The value of n that makes the triangle equilateral is 5.

Step by step solution

01

. Apply the definition of an equilateral triangle.

An equilateral triangle is a triangle in which all the three sides have the same length.

4n=2n+102n=10

02

鈥� Description of a step.

Divide each side of the obtained equation in step 1 by to find the value of n.

2n2=102n=5

03

Step 3. Description of a step.

Substitute 5 for n into 4n to find the length of first side.

4n=4脳5=20

04

Step 4. Description of a step.

Substitute 5 for n into2n+10 to find the length of second side.

2n+10=2脳5+10=10+10=20

05

Step 5. Description of a step.

Substitute 5 for n into7n鈭�15 to find the length of third side.

7n鈭�15=7脳5鈭�15=35鈭�15=20

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Classify each pair of angles as alternate interior angles, same-side interior angles, or corresponding angles.

and

State the postulate or theorem that justifies each statement.

m鈭�4=m鈭�5

The blue line is a transversal.

a. Name four pairs of corresponding angles.

b. Name two pairs of alternate interior angles.

c. Name two pairs of same-side interior angles.

d. Name two pairs of angles that could be called alternate exterior angles.

e.

Classify each pair of angles as alternate interior angles, same-side interior angles, or corresponding angles.

and

Classify each pair of angles as alternate interior angles, same-side interior angles, corresponding angles, or none of these.

and

See all solutions

Recommended explanations on Math Textbooks

Statistics

Read Explanation

Logic and Functions

Read Explanation

Mechanics Maths

Read Explanation

Discrete Mathematics

Read Explanation

Calculus

Read Explanation

Pure Maths

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.