Question

If two sides of a triangle are 5 cm and 1.5 cm, the length of its third side can not be......​

Answer 1

Step-by-step explanation:

We have,

Lengths of two sides of a ∆ : 5 cm and 1.5 cm

And we need to determine:

What can't be the length of the Third side?

So, Let's find:

Before solving and determining anything further, let's know the two simple inequalities of triangle.

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

2) The difference of the lengths of any two sides of a triangle is always less than the length of the third side.

Then,

According to the inequality,

⍟ First side + Second side > Third side

➛ Third side < 5 cm + 1.5 cm

➛ Third side < 6.5 cm ----------(1)

And,

⍟ First side - Second side < Third side

➛ Third side > 5 cm - 1.5 cm

➛ Third side > 3.5 cm ----------(2)

Combining (1) and (2),

➛ 3.5 cm < Third side < 6.5 cm

The range of the third side is between 3.5 cm and 6.5 cm. The length of the third side can't be 3.5 cm or less than that. And neither it will be 6.5 cm or more than that.

Answer 2

Answer:

3 cm may be................