Answer:
:
Each part: 2 Marks
(a) Adding up the sides, taking two at a time, we get
9 m + 5 m = 14 m > 3 m
9 m + 3 m = 12 m > 5 m
but, 5 m + 3 m = 8 m < 9 m
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, taking two at a time, we get
10 cm + 10 cm = 20 cm > 4 cm
10 cm + 4 cm = 14 cm > 10 cm
4 cm + 10 cm = 14 cm > 10 cm
So in each case, the sum of two sides is greater than the third side.
Hence, this triangle can be constructed.