Question

Which of the following could be the ratio between the lengths of the two legs of a 30-60-90 triangle? Check all that apply.

I believe one of the answers is B?

Answer 1

@pooja195

Answer 2

30-6-90 triangles always have their sides in a ratio of 1 : √3 : 2. To see why, split an equilateral triangle down the middle and apply the Pythagorean theorem.

In any case, thee ratio of the leg lengths is 1:√3. So "B" is one answer. But notice "C" is an answer too, because 2√3 : 6 is the same as √3 3, which is 1:3/√3 or 1:√3.

Answer 3

ratio of short leg to to long leg is \(1:\sqrt3\)

Answer 4

so its only B @satellite73 ??

Answer 5

yes

Answer 6

ok thnks