Learn how to find the missing side lengths of a 30 60 90 triangle

The video tutorial explains the properties of a 3069 triangle, focusing on the relationships between its sides. It describes how to calculate the hypotenuse by multiplying the short leg by two and how to find the short leg by dividing the hypotenuse by two. Additionally, it covers the method to determine the long leg by multiplying the short leg by the square root of three. The tutorial concludes by comparing this method to using the quadratic formula or a calculator for sine calculations.

What is a key difference between a 30-60-90 triangle and a 45-45-90 triangle?

• The side ratios in a 30-60-90 triangle are different from those in a 45-45-90 triangle.

• The angles in a 30-60-90 triangle are all equal.

• A 30-60-90 triangle has no right angle.

• A 30-60-90 triangle has a right angle and two equal sides.

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

• Multiply the short leg by 2.

• Multiply the short leg by 3.

• Add the short leg to the long leg.

• Divide the short leg by 2.

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

• 16

• 8

• 2

• 4

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

• Add the hypotenuse

• Multiply by the square root of 3

• Divide by 3

• Multiply by 2

Why might using the properties of a 30-60-90 triangle be preferred over using the quadratic formula?

• It is more accurate.

• It is simpler and quicker.

• It requires more calculations.

• It is only applicable to 45-45-90 triangles.