Question

How would I do this problem? In trapezoid PQRS, PQ is parallel to SR. Find the area of PQRS. Leave your answer is simplest radical form.

Answer 1

ok so do you know 30 60 90 triangles?

Answer 2

Yes

Answer 3

more importantly do you know the sides ratio

Answer 4

Explain please.

Answer 5

well if i have a 30 60 90triangle and the side opposite to the 30 degrees is 1 what is the measure of the side opposite to the angle 60 degrees

Answer 6

2

Answer 7

good, so in your drawing, if i draw a line from the top edge (PQ) straight to the bottom edge (SR) i create a 30 60 90 right?

Answer 8

Right

Answer 9

so what is the measure of this newly created side call it h

Answer 10

I don't know

Answer 11

note that this side is opposite to the 30 degree angle

Answer 12

So it would be 8?

Answer 13

well give me a sec to draw this