a triangle has a side length of 3/4 inch and a side length of 3 inches whats the third side

Answer 1

To find 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.

Let the unknown third side be x inches. According to the triangle inequality theorem:

(3/4) + 3 > x
(3/4) + x > 3
3 + x > (3/4)

From the first inequality, we have:
3.75 > x

From the second inequality, we have:
(3/4) + x > 3
x > 3 - (3/4)
x > 2.25

Therefore, the third side must be between 2.25 inches and 3.75 inches.