Question 252275
What is the area of the trapezoid with lower base of 12 cm, upper base of 8 cm if a leg 4 cm long makes an angle of 60 degrees with the lower base?
:
Area of trapezoid: A = {{{(h(a+b))/2}}}
where
a = 12
b = 8
we have to find h
We can use the sine of 60 to find h
sin(60) = {{{h/4}}}
.866 = {{{h/4}}}
h = .866 * 4
h = 3.46 cm
:
A = {{{(3.46(12+8))/2}}}
A = {{{(3.46(20))/2}}}
A = {{{69.28/2}}}
A = 34.64 sq/cm
:
Hope this made your Christmas Merry!