Question

Can someone explain this?

Answer 1

True

Explanation:

General formulas and concepts:
Subject: Geometry

Unit: Triangular Line Segments

Definitions:

Triangle Inequality Theorem

• The triangle inequality theorem states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side.

Steps:

Use the triangle inequality theorem:

9 + 4 > 11

13 > 11 ⇒ True

9 + 11 > 4

20 > 4 ⇒ True

4 + 11 > 9

15 > 9 ⇒ True

Conclusion:

Because the 3 segments that are given satisfy the statements of the triangle inequality theorem, they can therefore form a triangle.

Answer 2

false

Explanation:

if the 2 shorter segments dont add up to be equal or greater to the longest segment, then its impossible for a triangle to be formed :)