Determine the missing long leg and short leg of a 30 60 90 triangle

This video tutorial explains how to find the missing legs of a 30-60-90 triangle when given the hypotenuse. It details the relationship between the hypotenuse and the short leg, showing that the hypotenuse is twice the length of the short leg. To find the short leg, divide the hypotenuse by two. The tutorial then explains how to calculate the long leg by multiplying the short leg by the square root of 3. This method helps determine the missing lengths in a 30-60-90 triangle.

What is the relationship between the hypotenuse and the short leg in a 30-60-90 triangle?

• The hypotenuse is equal to the short leg.

• The hypotenuse is half the short leg.

• The hypotenuse is twice the short leg.

• The hypotenuse is three times the short leg.

If the hypotenuse of a 30-60-90 triangle is 10, what is the length of the short leg?

• 15

• 10

• 20

• 5

How do you calculate the short leg from the hypotenuse in a 30-60-90 triangle?

• Divide the hypotenuse by sqrt 3

• Multiply the hypotenuse by sqrt 3

• Multiply the hypotenuse by 2

• Divide the hypotenuse by 2

What operation is used to find the long leg from the short leg in a 30-60-90 triangle?

• Multiply by sqrt 3

• Divide by sqrt 3

• Multiply by 2

• Divide by 2

If the short leg of a 30-60-90 triangle is 3, what is the length of the long leg?

• 3

• 3 sqrt 3

• 6

• 6 sqrt 3