Chapter 6: Q12. (page 221)

Is it possible for a triangle to have sides with the lengths indicated?
$18, 18, 0.06$

Short Answer

Expert verified

Yes, it is possible for a triangle to have sides with lengths $18, 18, 0.06$ .

Step by step solution

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.

Step 2. Step description.

Apply the triangle inequality theorem as follows:

$18 + 18 = 36 > 0.06 18 + 0.06 = 18.06 > 18 18 + 0.06 = 18.06 > 18$

Step 3. Step description.

As theaddition of any two side’s lengths of atriangleis greater than the length of the remaining side, thus it is possible to have a triangle with such sides.

Therefore, it is possible to have a triangle with sides $18, 18, 0.06$ .

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.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Is it possible for a triangle to have sides with the lengths indicated?
$18, 18, 0.06$

Short Answer

Step by step solution

Step 1. Apply the triangle inequality theorem.

Step 2. Step description.

Step 3. Step description.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Pure Maths

Logic and Functions

Decision Maths

Calculus

Mechanics Maths

Study anywhere. Anytime. Across all devices.

Is it possible for a triangle to have sides with the lengths indicated?18,18,0.06

Short Answer

Step by step solution

Step 1. Apply the triangle inequality theorem.

Step 2. Step description.

Step 3. Step description.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Pure Maths

Logic and Functions

Decision Maths

Calculus

Mechanics Maths

Study anywhere. Anytime. Across all devices.

Is it possible for a triangle to have sides with the lengths indicated?
$18, 18, 0.06$