Question

two sides of a triangle are of length 5 cm and 1.5 cm the length of the third side cannot be a)3.6cm b)4.1cm c)3.8cm d)6.9cm

Answer 1

Answer:

The difference between two said is less then third said

5-1.5=3.5

so the third said cannot be 3.4 cm

Answer 2

Answer:

d) $6.9$ cm

Step-by-step explanation:

Given : The sides of triangle are $5$ cm and $1.5$ cm.

To find : Third side of a triangle.

Solution :

• As we know that the two sides of triangle are $5$ cm and $1.5$ cm.
• The length of two sides of triangle are different.
• The inequality triangle theorem states that "the sum of any two sides of a triangle is greater than or equal to the third side of a triangle."
• ∴ sum of two sides of triangle = $5 + 1.5$

                                           = $6.5$ cm.

• According to the above theorem, the length of the third side must be greater than sum of two sides or equal to it.
• The given options except  d) $6.9$ cm does not satisfies the above theorem.
• ∴ The length of the third side of a triangle = $6.9$ cm