Ha Poong has 4 lengths of wood from which he plans to make a border for a triangular-shaped herb garden. The lengths of the wood borders are 8 inches, 10 inches, 12 inches, and 18 inches. How many different triangular borders can Ha Poong make?
a.
2
c.
4
b.
3
d.
5

Question

Ha Poong has 4 lengths of wood from which he plans to make a border for a triangular-shaped herb garden. The lengths of the wood borders are 8 inches, 10 inches, 12 inches, and 18 inches. How many different triangular borders can Ha Poong make?
a.
2
c.
4
b.
3
d.
5

anonymous · Answer

$$\frac{4!}{3! 1!}-1=3 $$A triangle using sides lengths, 8 , 10 and 18 is not possible.  The longest side must be greater than the sum of the other two sides.