Hello,

I assume that you are referring to degrees here:"...[30-60-90] right triangle".

With such a right triangle the ratio of shorter leg to hypotenuse is :

Use this formula and the Pythagorean theorem to calculate the missing values:

to #1: Solve the equation

for h and afterwards calculate the shorter leg.

The following questions have to be done similarly.

to #5:

If the side of the square is a and the diagonal is d you find:

. Use this property to calculate the length of one side and afterwards the perimeter:

to #6:

The altitude of an isosceles triangle with the sideais calculated by: .

Plug in the known value of h and solve for a. Afterwards calculate the perimeter: