Question

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

Answer 1

Answer:

Please check the answer below.

Step-by-step explanation:

You have been given the short leg in this 30-60-90 triangle.

You must remember that

• The shortest leg is across from the m∠30°,

• Hypotenuse is twice the length of the the shortest leg,

• In order to find the long leg, all you need is to multiply the short leg by $\sqrt{3}$ (commonly known as the square root of 3).

For example, if you have the hypotenuse with length $14$ units.

In order to get the short side, just divide by 2. i.e. 14/2 = 7 units

In order to find the long leg, all you need is to multiply the short leg by $\sqrt{3}$.

i.e. 7 × $\sqrt{3}$.