Question

Which set of sides will make a triangle 5cm 2cm 3cm or 10cm 5cm 9cm or 1cm 3cm 1cm or 10cm 3cm 4cm

Answer 1

10 cm 5cm and 9cm.
Using Triangle Inequality
Sum of two sides is greater than third side.
Only this triangle follows the rule and is possible

Answer 2

Answer:

Step-by-step explanation:

In this case we will use the triangle inequality.

The triangle inequality states that for measurements to give a triangle the sum of length of any two sides should be greater than the third side.

We will apply this in the question above.

1) Take 5cm, 2cm and 3cm

2 + 3 = 5

5 cm = 5cm

2) 10cm, 5cm, 9cm

5 + 9 = 14

14cm > 9 cm

3) 1 cm, 3cm and 1 cm

1 + 1 = 2

2cm < cm

4) 10 cm, 3 cm and 4 cm

3 + 4 = 7 cm

7 cm < 10 cm

The measurements that give a triangle are hence :

10 cm, 5 cm and 9 cm