Can a triangle have side measurements of 1, 4 and 5? Why or why not

A triangle cannot have side measurements of 1, 4 and 5.

As the sum of two sides i.e. '1+4' of a triangle is not greater than the measure of the third side i.e. '5'.

Step-by-step explanation:

The Triangle Inequality Theorem states that the sum of any two sides of a triangle must be greater than the measure of the third side.

For example, a triangle ΔABC must follow the three conditions which are as follows:

For example, a triangle ΔABC with side lengths:

A = 1

B = 4

C = 5

As the condition i.e. A + B > C    →   1 + 4 > 5  is not satisfied, as 1 + 4 > 5 is False.

Therefore, a triangle cannot have side measurements of 1, 4 and 5.

there would be 365 different 4 digit numbers

step-by-step explanation:

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