/*! 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} Q8. Is it possible for a triangle to... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 6: Q8. (page 221)

Is it possible for a triangle to have sides with the lengths indicated?

6,6,20

Short Answer

Expert verified

No, it is not possible for a triangle to have sides with lengths 6,6,20.

Step by step solution

01

Step 1. Apply the triangle inequality theorem.

The triangle inequality theorem states that the addition of any two sides of the triangle must be greater in length than the third side.

02

Step 2. Step description.

Apply the triangle inequality theorem

6+6=12<20

03

Step 3. Step description.

As theaddition of any two side鈥檚 lengths of atriangleis less than the length of the remaining side, thus it is not possible to have a triangle with such sides.

Therefore, it is not possible to have a triangle with sides 6,6,20.

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

Prove that if two lines are perpendicular to the same plane, then the lines do not intersect.

Express the following statement in if-then form.

All squares are rhombuses.

Prove that the diagonals of a trapezoid do not bisect each other.

Write an indirect proof in paragraph form.

Given: OJ炉鈮�OK炉;JE炉鈮�KE炉

Prove: OE鈫�doesn't bisect 鈭�JOK

What can you conclude by using the given statement together with each additional statement? If no conclusion is possible, say so.

Given: All my students love geometry.

a. Stu is my student.

b. Luis loves geometry.

c. Stella is not my student.

d. George does not love geometry.
See all solutions

Recommended explanations on Math Textbooks

Mechanics Maths

Read Explanation

Applied Mathematics

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Statistics

Read Explanation

Pure Maths

Read Explanation

Calculus

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.