Question

A rectangle has a diagonal of 8cm. The diagonal creates a 60 degrees angle at the base of the rectangle.

Write an exact expression for the base and the height of the rectangle.

^^ Don't get how to do that, Ive only drawn a triangular diagram, and im confused about the expression thing.

Answer 1

In your triangle , call your base b
and your height h,
he hypotenuse would be 8 and the base angle is 60°
so sin60° = h/8 --- h = 8sin60
cos60° = b/8 ---> b = 8cos60

Answer 2

Thank you, so would I use those expressions to find the area? Would I times 8sin60 by 8 cos60?

Answer 3

yes, area = base x height

You did not say that you had to find the area