30-60-90 Triangle
Interact with the applet below for a few minutes. Be sure to move the LARGE BLACK VERTICES around before each time you re-slide the slider.
After interacting with this applet, please answer the questions that follow.
Questions:
1) Suppose the shorter leg of a 30-60-90 triangle is 2 inches long.
Find the length of its longer leg. Write this length in simple radical form.
2) Suppose the shorter leg of a 30-60-90 triangle is 3 inches long.
Find the length of its longer leg. Write this length in simple radical form.
3) Suppose the shorter leg of a 30-60-90 triangle is 4 inches long.
Find the length of its longer leg. Write this length in simple radical form.
4) Suppose the shorter leg of a 30-60-90 triangle is 5 inches long.
Find the length of its longer leg. Write this length in simple radical form.
5) Suppose the shorter leg of a 30-60-90 triangle is 6 inches long.
Find the length of its longer leg. Write this length in simple radical form.
Notice any patterns? If so, describe.
6) Suppose the shorter leg of a 30-60-90 triangle is a units long.
What would the length of its hypotenuse be (in terms of a) ?
What would the length of its longer leg be (in terms of a)?