Question

Two sides of a triangle measure 8 cm and 15 cm. Which could be the length of the third side?
6 cm
18 cm
24 cm
28 cm

Answer 1

The Side Of A Triangle Must Be LESS Than The
SUM Of The Other 2 so ans is 18cm

Answer 2

Answer:

Option 2 is correct.

Step-by-step explanation:

The necessary condition of a triangle:

The sum of two smaller sides is greater that the largest side.

It is given that the two sides of a triangle measure 8 cm and 15 cm.

Case 1: Let 8 cm and 15 cm. are smaller side. So,

$\text{Third side}<8+15$

$\text{Third side}<23$

It means 3rd side must be less than 23.

Case 2: Let 15 cm is the largest side.

$15<\text{Third side}+8$

$15-8<\text{Third side}$

$7<\text{Third side}$

It means 3rd side must be greater than 7.

Since only 18 is less than 23 and greater than 7, therefore the possible length of third sides is 18 cm and option 2 is correct.