Question

Can you make a triangle with side lengths 3,7,8?

Answer 1

Yes

Explanation:

The lengths of each side of a triangle has to be between the sum and the difference of the lengths of the other 2 sides.

3 must be between 8 - 7 and 8 + 7

3 is between 1 and 15.

7 must be between 8 - 3 and 8 + 3

7 is between 4 and 11.

8 must be between 7 - 3 and 7 + 3

8 is between 4 and 10.

Since all three statements above are true, you can make a triangle with side lengths 3, 7, 8.

Answer 2

Yes!

Explanation:

The sum of 2 sides of a triangle must be greater than the length of the 3rd side. Let's see if it's true for this triangle.

3 + 7 > 8

3 + 8 > 7

7 + 8 > 3

This is true for this triangle :) I hope this helps!