If a triangle has a perimeter of 52 units, then all its sides have length ________ units.

Question

Accepted Answer

Given the perimeter of the triangle is 52 units. Let the sides be a, b, and c.

The triangle inequality states that the length of any side must be less than the sum of the other two sides.

Since a + b + c = 52, for any side, say a, we have:

a < b + c = 52 - a

This implies:

2a < 52

a < 26

Similarly, b < 26 and c < 26.

Therefore, each side must be less than 26 units.

Answer

Answer

Answer