22.6k views
5 votes
The segments shown below could form a triangle

The segments shown below could form a triangle-example-1

2 Answers

0 votes

Answer:

False

Explanation:

a^2+b^2=c^2 so the biggest number would be c and that would be 11 9^2=81 4^2=16 adding these together gets 97. 97=/=11^2 which is 121

User Bottleboot
by
7.4k points
3 votes

Answer:

A. True.

Explanation:

We have been given lengths of three segments. We are asked to determine whether the given segments could form a triangle or not.

Triangle inequality theorem states that sum of two sides of triangle must be greater than third side of the triangle.

Using triangle inequality theorem, we will get:


9+4>11


13>11 True


9+11>4


20>4 True


4+11>9


15>9 True

Since our given segments satisfies triangle inequality theorem, therefore, the given segments could form a triangle.

User Martin Del Vecchio
by
6.4k points