Can a triangle be drawn with side lengths of 7.3 meters, 4.6 meters, and 11 meters?

Question

I would like help ASAP please

Answer 1

Yes. As long as the lengths of any two sides combined is longer than the length of the 3rd side, they can be used to form a triangle.

Answer 2

Hi Tim,

The triangle inequality theorem will help you solve this problem. It states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. We can represent this with symbols as follows:

a+b > c

a+c > b

b+c > a

Plug in the side lengths of your triangle to test to see if the inequalities are true.

7.3 + 4.6 > 11?

7.3 + 11 > 4.6?

4.6 + 11 > 7.3?

If all of the inequalities are true, then a triangle can be drawn with these side lengths.