Question

The lengths of two sides of a triangle are 6 cm and 10 cm. Between what two
measures should the length of the third side fall?​

Answer 1

Answer :-

• The length of the third side will fall between 4 cm and 16 cm.

Given :-

• The lengths of two sides of a triangle are 6 cm and 10 cm.

To find :-

• The measures between which the length of the third side will fall.

Step-by-step explanation :-

We know the lengths of the two sides.

We are asked to find the length of the third side.

$\bf We \:know \: that :-$

Length of the third side is always greater than the difference of the other two sides. We also know that the length of the third side must be less than the sum of the other two sides.

• Difference of the two sides = 10 cm - 6 cm = 4 cm.

• Sum of the two sides = 10 cm + 6 cm = 16 cm.

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

Answer 2

Answer:

Answer :-

The length of the third side will fall between 4 cm and 16 cm.

Given :-

The lengths of two sides of a triangle are 6 cm and 10 cm.

To find :-

The measures between which the length of the third side will fall.

Step-by-step explanation :-

We know the lengths of the two sides.

We are asked to find the length of the third side.

\bf We \:know \: that :-Weknowthat:−

Length of the third side is always greater than the difference of the other two sides. We also know that the length of the third side must be less than the sum of the other two sides.

Difference of the two sides = 10 cm - 6 cm = 4 cm.

Sum of the two sides = 10 cm + 6 cm = 16 cm.

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