30 - 60 - 90 Triangles

[color=#000000]Take a few minutes to interact with the applet below.[br]Then, answer the questions that follow. [/color]
[color=#000000]1. How does the length of the hypotenuse of this triangle compare with the length of this triangle's shorter leg? [/color]
[color=#000000][img]https://i.postimg.cc/Rhk3Fv50/Screen-Shot-2021-01-25-at-7-00-32-PM.png[/img][br]2. Suppose the shorter leg's length ([i]BC[/i]) = 4 cm. What would [i]AB[/i] be? Write this distance in simplest radical form. [/color]
[color=#000000]3. Take the information from the previous question. Use this information to find [i]AC[/i]. Write this distance in simplest radical form. [/color]
[color=#000000][img]https://i.postimg.cc/C5kkTcdX/Screen-Shot-2021-01-25-at-7-03-49-PM.png[/img][br]4. Suppose A[i]C[/i] = [math]6\sqrt{3}[/math]. What is [i]BC[/i]? Write in simplest radical form. [/color][br]
[color=#000000]5. Suppose A[i]C[/i] = [math]6\sqrt{3}[/math]. What is [i]BA[/i]? [/color]Write in simplest radical form. [br]
[img]https://i.postimg.cc/YCgVD7pz/Screen-Shot-2021-01-25-at-7-01-33-PM.png[/img][br]6. Suppose AC = 5. What is [i]BC[/i]? Write in simplest radical form.
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