Answer:
:
Each part: 2 Marks
(a) Adding up the sides by taking two at a time, we get:
5 cm + 5 cm = 10 cm < 80 cm
80 cm + 5 cm = 85 cm > 5 cm
So we see that the sum of one pair of sides when added is not greater than the third side.
Therefore, we cannot draw a triangle with these measurements.
(b) Adding up the sides by taking two at a time, we get
13 cm + 6 cm = 19 cm > 7 cm
13 cm + 7 cm = 20 cm > 6 cm
6 cm + 7 cm = 13 cm = 13 cm
So in each case, the sum of two sides is equal to the third side.
Hence, this triangle cannot be constructed.