Question

I have been given the short leg in this 30-60-90 triangle. How do I find the long leg?

a
Multiply 4 by 2

b
Multiply 4 by √3

c
Multiply 4 by √2

d
Divide 4 by 2

Answer 1

To find the long leg in a 30-60-90 triangle, you multiply the length of the short leg by sqrt(3).

Step-by-step explanation:

In a 30-60-90 triangle, the ratio of the lengths of the sides is 1:sqrt(3):2. The short leg is opposite the 30-degree angle, while the long leg is opposite the 60-degree angle. To find the long leg, you multiply the length of the short leg by sqrt(3).

Therefore, the correct answer is option b: Multiply 4 by sqrt(3).