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 10 millimeters, 30 millimeters, and 50 millimeters. 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
10mm+30mm? >50mm
10mm+50mm? >30mm
30mm+50mm? >10mm
40mm > 50mm *
60mm > 30mm âś“
80mm > 10mm âś“
Notice that the sum of 10 millimeters and 30 millimeters is not greater than 50 millimeters. This means that we cannot draw a triangle with the given side lengths.
