Which of the following cannot be the side lengths of a 30° - 60° - 90° triangle?
a. 4,8,4(sq root)3
b. 3(sq root)2,3(sq root)6,6(sq root)2
c.3,6,3(sq root)2
d. 5,10,5(sq root)3

Question

Which of the following cannot be the side lengths of a 30° - 60° - 90° triangle? 
a. 4,8,4(sq root)3
b. 3(sq root)2,3(sq root)6,6(sq root)2
c.3,6,3(sq root)2
d. 5,10,5(sq root)3

anonymous · Answer

the sides of a 30-60-90 triangle are like the following, right?

a, 2a, & (a)sqrt(3)     

the short leg is half the length of the long leg, and the hypotenuse is the short length multiplied by sqrt(3).

anonymous · Answer

a, b, c or d

anonymous · Answer

yes,  i think so.

anonymous · Answer

which of the choices doesn't fit the pattern?

anonymous · Answer

b

anonymous · Answer

b is a good guess.. however, I think they put that in to trick you.

anonymous · Answer

what do you think the answer is??

anonymous · Answer

the short side on b is "3sqrt(2)"

The long leg is twice as big, so 2(3)sqrt(2) = 6sqrt(2)

The hypotenuse is the short side times sqrt(3), or 3sqrt(2)sqrt(2) = 3sqrt(6)

anonymous · Answer

I think it's probably c, but I haven't had a chance to work all of them out yet.

Do you see why B looks like it isn't 30-60-90 at first, but it actually is?