The shorter leg of a 30°-60°-90° right triangle measures 5 in. what is the length of the longer leg?

a. 5 square root of 3 inches

b. 10 inches

c. 5 square root of 2 inches

d. 15 in

The relationship of the angles to the sides opposite those angles is always:

30°=1, 60°=√3, and 90°=2

So the longer leg can be found using the ratios from above...

L/S=√3/1 and we are told that the shorter side is 5 in so

L/5=√3

L=5√3

So A. is the correct answer.

Im not sure what equation your doing but lets use 3x=15 as an example

Step-by-step explanation:

3x=15

this tells us that 3 times an unknown value is 15.

So we must isolate that value by doing the opposite of multiplication which is division. So we divide 3x by 3 so can be left x

so 3x divided by 3 is x. Whatever we do to one side we do to the next (following the multiplication/division property of equality)

So 15/3 is 5.

Therefore: x = 5

We can double check this statement by saying 3 times 5 is 15 which proves that this statement is true.