SOLUTION: Please help me with this one! Find the area of a trapezoid ABCD, if m Ang A = m Ang D = 60 degrees, AD = 10, BC = 8. Thanks!

Algebra ->  Parallelograms -> SOLUTION: Please help me with this one! Find the area of a trapezoid ABCD, if m Ang A = m Ang D = 60 degrees, AD = 10, BC = 8. Thanks!      Log On


   

Question 84023: Please help me with this one! Find the area of a trapezoid ABCD, if m Ang A = m Ang D = 60 degrees, AD = 10, BC = 8. Thanks!
Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
AD being the bottom base
BC being the top base
%281%2F2%29%28h%29%28base1+%2B+base2%29
%281%2F2%29%28h%29%288+%2B+10%29
%281%2F2%29%28h%29%2818%29
9h
What is the height? ....
You can make a 30-60-90 triangle using angle A and angle B.
Opposite the 30 degree angle is 1 unit long.
Opposite the 60 degree angle (height) should be sqrt%283%29 units long.
~ Using 30-60-90 rule ~
9%2Asqrt%283%29