The shorter leg of a 30°-60°-90° triangle measures 3 inches. what is the length of the longer leg?

For a 30°-60°-90° triangle, the sides will have a ratio of 1:sqrt(3):2. Therefore if the shortest side (across the 30° angle) has a length ratio of 1, then the longer leg has a length ratio of sqrt(3). Therefore we have the proportion:
3 inches/1 = x/sqrt(3)
x = 3sqrt(3) inches

Note that the side of length ratio 2 is the hypotenuse, not the longer leg.

List the sentences. keep in mind when you use sarcasm you are saying one thing in a tone to make it clear you are joking. like for instance, pretend you get a math test from your teacher. you’d most likely say, “oh yay.. a math test.” but you’d have the tone to give it the “oh come on” feeling. does this at all?

Don’t use up to much of them it leads to pollution