Question

the length of two sides of a triangle are 3cm and 5 cm. between which two measures should the length of third side fall​

Answer 1

Answer:

length falls between 2 - 12

Step-by-step explanation:

It is known that the sum of the two sides of a triangle is greater than the third side, so,

thirdside<5+7

thirdside<12

And,

thirdside>7−5

thirdside>2

Therefore, 2<thirdside<12.

Hence, the third side of the triangle falls between (2,12)

Answer 2

Answer:

The 3rd side fall between 2 and 8

Given problem:

the length of two sides of a triangle are 3cm and 5 cm.

between which two measures should the length of third side fall​

Step-by-step explanation:

length of the 2 sides of a triangle are 3 cm and 5 cm

Note:  

• In a triangle sum of any two sides must be greater than third side
• The difference between two sides must less than the third side

therefore the third side of the given triangle

  third side must be less than 3 + 5  ⇒  3rd side < 8

  third side must be greater than 5 - 3 ⇒ 3rd side > 2

the third side fall between 2 and 8

⇒    2 < 3rd side < 8