A triangle can be formed when the sum of the lengths of any two sides is greater than the length of the third side.
Not possible, see solution.
Practice makes perfect
We want to draw a triangle with side lengths of 4 inches, 5 inches, and 10 inches. We can recall that a triangle can be formed when the sum of the lengths of any two sides is greater than the length of the third side. Let's compare the side lengths using a table!
Comparison
4in.+5in.? >10in.
4in.+10in.? >5in.
5in.+10in.? >4in.
9in. > 10in. *
14in. > 5in. âś“
15in. > 4in. âś“
Notice that the sum of 10 inches and 30 inches is not greater than 50 inches. This means that we cannot draw a triangle with the given side lengths.
