Chapter 6: Q7. (page 221)

Is it possible for a triangle to have sides with the lengths indicated?
$10, 9, 8$

Short Answer

Expert verified

Yes, it is possible for a triangle to have sides with lengths $10, 9, 8$ .

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

$\begin{array}{l} 10 + 9 = 19 > 8 \\ 10 + 8 = 18 > 9 \\ 9 + 8 = 17 > 10 \end{array}$

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 $10, 9, 8$ .

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Is it possible for a triangle to have sides with the lengths indicated?
$10, 9, 8$

Short Answer

Step by step solution

Step 1. Apply the triangle inequality theorem.

Step 2. Step description.

Step 3. Step description.

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Is it possible for a triangle to have sides with the lengths indicated?10,9,8

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

Geometry

Decision Maths

Probability and Statistics

Pure Maths

Calculus

Study anywhere. Anytime. Across all devices.

Is it possible for a triangle to have sides with the lengths indicated?
$10, 9, 8$