Question

Check if a triangle with sides 5 cm, 19 cm and 20 cm can be constructed. [2 Marks]

Answer 1

Adding up the sides, taking two at a time, we get

5 cm + 19 cm = 24 cm > 20 cm

5 cm + 20 cm = 25 cm > 19 cm

19 cm + 20 cm = 39 cm > 5 cm [1 Mark]

So we see that the sum of the pair of sides when added is greater than the third side.

Therefore, we can construct the triangle with these measurements. [1 Mark]