Suppose you have 3 pieces of string measuring 4 inches, 5 inches, and 10 inches. How many unique triangles can you form with these pieces of string?

A. 0

B. 1

C. 2

D. Infinitely Many

A

Step-by-step explanation:

This can be easily understood using the triangle inequality theorem:

"In a triangle, the combined lengths of any two sides must always be greater than the length of the third side."

Is 10+5 greater than 4? YES Is 10+5 greater than 5? YES Is 5+4 greater than 10? No!

Since all of them doesn't hold true, we cannot make any triangle. The answer is A, 0.

I'm guessing B because the pieces of string are all different lengths, therefore creating only one type of triangle (scalene triangle)