Question

Two sides of a triangle measure 7cm and 15cm. Which could be the measure of the third side of the triangle?

A)7cm

B)18cm

C)22cm

D)25cm

Answer 1

I think it’s B)18cm

7+15> 18

7+18>15

15+18>7

Answer 2

18 cm is the answer.

Explanation:

We know by triangle inequality theorem that “The sum of any two sides of a triangle should be greater than the third side”.

Herr, 2 sides are given as 7 cm and 15 cm.

Let the third side of a triangle be x

According to the above statement:

`7+15>18`

`15+18>7`

`7+18>15`

Now, we can see that the length of the third side must lie between 1 cm and 18 cm to form a triangle if 7 cm and 15 cm are its other two sides.

So, the answer is 18 cm.