Question

Two sides of a triangle are 7 cm and 4 cm. Find the range of measurement of the third side.

Answer 1

Answer:

The |a−b|<c<a+b|a−b|<c<a+b inequality must be true in order to be able to create a triangle with these 3 numbers as the lengths of its sides.

|4–7|<c<4+7|4–7|<c<4+7

3<c<113<c<11 is the solution.

Answer 2

Step-by-step explanation:

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

⇒ The differnce of the lengths of any two sides in a triangle is always lesser than the length of the third side in the triangle.

⇒ The difference between 4cm and 7cm is

3cm and their sum is 11cm.

⇒ To ensure that the above mentioned rule is not violated, the possible length of the third side has got to be greater than 3cm and lesser than 11cm.

⇒ So from the given options 6cm is less than

11cm and greater than 3cm

∴ The length of the third side of triangle is 6cm