Special Right Triangles: 45-45-90

This is a 45-45-90 right triangle. These numbers describe the angle measures. What do you notice about this triangle by just looking at it?

Divide the blue side (the hypotenuse) by a red side (the leg). What do you get? give 3 decimal places.

Change the length of S using the slider. Divide the blue side (the hypotenuse) by a red side (the leg). What do you get? give 3 decimal places.

Change the length of S using the slider again. Divide the blue side (the hypotenuse) by a red side (the leg). What do you get? give 3 decimal places.

We have determined that when you divide the hypotenuse (blue) by the leg (red) you always get the same number. If the S (red leg length) is 2.5, how long will be hypotenuse be (to 1 decimal place)? What do you get? give 1 decimal places.

We have determined that when you divide the hypotenuse (blue) by the leg (red) you always get the same number. If the hypotenuse is 3.96, how long will be the leg (red side) be (to 1 decimal place)? What do you get? give 1 decimal places.