Two sides of a triangle measure 10cm
and 18cm
. Which could be the measure of the third side of the triangle?
To determine the possible measure of the third side of the triangle, we can use the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
Given that the lengths of the two sides are 10 cm and 18 cm, we can determine the range of possible lengths for the third side.
The sum of the lengths of the two sides, let's call them a and b, should be greater than the third side, let's call it c.
So, for this case, we have:
a + b > c
Substituting values, we get:
10 cm + 18 cm > c
28 cm > c
Therefore, any length less than 28 cm could be the measure of the third side of the triangle.