jamal has 2 straight sticks with the length of 20cm and 18cm. Jamal searches for a third stick so that he can form a triangle. Which length of stick will allow jamal to make a triangle.

The length of third side of triangle should be greater than 2 cm and less than 38 cm

Solution:

Given that,

Jamal has 2 straight sticks with the length of 20 cm and 18 cm

Jamal searches for a third stick so that he can form a triangle

According to triangle inequality theorem,

Triangle inequality theorem states that sum of length of two sides of triangle should always be greater than measure of third side

Let the length of unknown side be "x"

Case 1:

Let 20 cm be the length of third side

Then,

x + 18 > 20

x > 20 - 18

x > 2

Case 2:

Let "x" cm be the length of third side

18 + 20 > x

38 > x

x < 38

This means that length of third side of triangle should be greater than 2 and less than 38