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never [62]
3 years ago
9

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

Mathematics
1 answer:
Alexxx [7]3 years ago
7 0

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}.

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