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 2 centimeters, 2 centimeters, and 5 centimeters. 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
1cm+4cm? >5cm
1cm+5cm? >4cm
4cm+5cm? >1cm
5cm > 5cm *
6cm > 4cm âś“
9cm > 1cm âś“
Notice that the sum of 1 centimeter and 4 centimeters is not greater than 5 centimeters. This means that we cannot draw a triangle with the given side lengths.
