Suppose you have 3 pieces of string measuring 4 inches, 5 inches, and 10 inches. How many unique triangles can you form with the
se pieces of string?
A. 0
B. 1
C. 2
D. Infinitely Many
2 answers:
I’m guessing B because the pieces of string are all different lengths, therefore creating only one type of triangle (scalene triangle)
Answer:
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.
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