Question

(b) If two sides of a triangle are 6 cm and 10 cm, then the length of the third side can be
(i) 3cm
(ii) 4 cm
(iii) 2 cm
(iv) 6 cm
can any one help me with solution how we will get ​

Answer 1

Answer:

Step-by-step explanation: We know that in any triangle, the sum of any two sides must be greater than the the third side

Now, 10 - 6 = 4, this means that third side must be greater than 4 which is 6  cm

Hence, answer option (iv) is correct.

Answer 2

Answer:

The correct answer is an option (iv)

Step-by-step explanation:

Given, that the length of two sides of a triangle is 6 cm and 10 cm.

To find the length of the third side.

The sum of the lengths of any two sides of a triangle are always greater than the length of the third side.

Sum of two sides$= 6 + 10$

$= 16 cm$

The third side must be greater than the difference between the two sides and less than the sum of the two sides.

Difference between the two sides $= 10 - 6$

$= 4 cm$

So, the third side must be greater than 4 cm and less than 16 cm.

Therefore, the third side is 6 cm.