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.

Options:
Option 1: 1:√3
Option 2: 3:3√3
Option 3: 2:√3
Option 4: 1:1

Answer 1

In a 30-60-90 triangle, the ratio between the lengths of the two legs is 1:√3.

Step-by-step explanation:

In a 30-60-90 triangle, the ratio between the lengths of the two legs is 1:√3. Option 1 is correct.

To understand this, let's assume the length of the shorter leg is 1 unit. Then, using the properties of a 30-60-90 triangle, the length of the longer leg would be √3 units.

Therefore, the correct ratio is 1:√3.