In a 30°-60°-90° triangle, the length of the hypotenuse is 30. find the length of the longer leg.

In a 30-60-90  triangle the side opposite the 30 degree angle is half the length of the hypotenuse. 
The shorter leg is the side opposite the 30 degree angle, therefore
the shorter leg = 30/2 = 15

By the Pythagorean theorem
the longer leg = √(30² - 15²) = √(900-225) = √675 = 15√3 ≈ 25.98 units

Where the white dots are is where your points should be plotted.a translation is simply just moving something from one place to another. in this case, you would move each plot point of the original shape 2 units up, and 5 units to the left.