Exploring 30-60-90 Triangle Relationships

This video tutorial explains the side length relationships in a 30-60-90 triangle. It covers how to find the hypotenuse and the longer leg when given the short leg, how to determine the short and long legs when given the hypotenuse, and how to calculate the short leg and hypotenuse when given the long leg. The tutorial includes examples and step-by-step calculations to help understand these geometric relationships.

What is the formula to find the hypotenuse in a 30-60-90 triangle?

• Hypotenuse = Long Leg / √3

• Hypotenuse = Short Leg × 2

• Hypotenuse = Long Leg × 2

• Hypotenuse = Short Leg × √3

How do you find the longer leg in a 30-60-90 triangle?

• Longer Leg = Short Leg × 2

• Longer Leg = Hypotenuse / 2

• Longer Leg = Short Leg × √3

• Longer Leg = Hypotenuse / √3

If the short leg of a 30-60-90 triangle is 4, what is the length of the hypotenuse?

• 8

• 4√3

• 16

• 2

In a 30-60-90 triangle, if the hypotenuse is 8, what is the length of the short leg?

• 2

• 4√3

• 8√3

• 4

Given the hypotenuse is 6 in a 30-60-90 triangle, what is the length of the short leg?

• 3

• 9

• 6√3

• 3√3

What is the length of the longer leg if the short leg is 3 in a 30-60-90 triangle?

• 6

• 6√3

• 3√3

• 9

If the long leg of a 30-60-90 triangle is 9, what is the length of the short leg?

• 18

• 3

• 9√3

• 3√3

How do you find the hypotenuse if you know the length of the long leg in a 30-60-90 triangle?

• Hypotenuse = Long Leg × √3

• Hypotenuse = Short Leg × 2

• Hypotenuse = Long Leg / √3

• Hypotenuse = Long Leg × 2

What is the length of the hypotenuse if the short leg is 3√3 in a 30-60-90 triangle?

• 6√3

• 9

• 18

• 6

Given the long leg is 9 in a 30-60-90 triangle, what is the length of the hypotenuse?

• 6√3

• 9√3

• 18

• 9