# Special Right Triangles 30-60-90

- Author:
- Andrew Roberts

- Topic:
- Right Triangles, Triangles

This is a 30-60-90 triangle. What do you notice about the side lengths? What else do you notice about the triangle?

What do you get when you divide the blue hypotenuse by the red short leg?

Change the length of s using the slider What do you get when you divide the blue hypotenuse by the red short leg now?

Change the length of s using the slider again. What do you get when you divide the blue hypotenuse by the red short leg now?

Fill in the blank: The blue hypotenuse is always equal to the length of the red short leg multiplied by __________________.

Try and write an equation that helps you find the blue hypotenuse if you know the short leg (red).

What do you get when you divide the green long leg by the red short leg? give 3 decimals

Change the length of S using the slider. What do you get when you divide the green long leg by the red short leg now? give 3 decimals

Change the length of S using the slider one more time. What do you get when you divide the green long leg by the red short leg now? give 3 decimals

Fill in the blank in this statement with a number to 3 decimals: The green long leg always equals the red short let multiplied by __________________.

Try to write an equation that finds the length of the green long leg if you know the red short leg.

Using the triangle above, If the short leg is 2.7, how long is the blue hypotenuse?

Using the triangle above, If the short leg is 2.7, how long is the green long leg? Give 2 decimals.

Using the triangle above, If the blu hypotenuse is 5, how long is the short leg? Give one decimal.

Once you find the red short leg, use that length to find the long green long leg. Give 2 decimals.