Question

The length of two sides of a triangle are 6 cm and 9 cm. The length of the third side may lie between *
1 point
2 cm and 8 cm
3 cm and 15 cm
6 cm and 9 cm
5 cm and 10 cm​

Answer 1

Answer:

3 cm and 15 cm

Step-by-step explanation:

The length of any side in a triangle should be less than the sum of the other 2 sides and greater than the difference between them.

9+6=15

9-6=3

So, the third side lies between 3 cm and 15 cm

Answer 2

Answer:

3 cm and 15 cm

Step-by-step explanation:

side 1 = 6 cm,

side 2 = 9cm.

In a triangle ,

the sum of any 2 sides is always greater than the third side.

So,

third side should be < ( 9 + 6) = 15 cm

& also,

it should be > (9 -6) = 3 ,

because 6+3 = 9 & in this case side1 + side3 = side2,

which is not possible.

Hence,

3cm < third side < 15 cm  

ie,

third side length lies between 3cm & 15 cm,

excluding 3 & 15.