Question

help please i got first part of question i am stuck on second part see attached

Answer 1

found height as 8.7sqrt3

Answer 2

@ranga or @e.mccormick

Answer 3

i know as well area for trapezoid is 1/2h(b1+b2)

Answer 4

@hartnn

Answer 5

answer in book is
A=489.7cm^2

Answer 6

AI=17.4cos 60=17.4*1/2=8.7
AD=8.7+31.8=40.5
area=(40.5+24.5)/2*8.7sqrt3

Answer 7

i am in just geometry now so i dont know sin or cos yet

Answer 8

ok, so you can find AI using pythagoras theorem

Answer 9

you have h = 8.7 sqrt 3
b1 = 24.5
you need b2 = 31.8 + AI

Answer 10

How you calculated h ?

Answer 11

sqrt3/2*17.4 = h

Answer 12

good, you used the fact that side opposite to 60 degree angle is sqrt 3 /2 times the hypotenuse

to find AI, you can use the fact that side opposite ti 30 degree angle is half the hypotenuse

Answer 13

?? so 8.7 sqrt 3/2?

Answer 14

oh i get it so 17.4/2 :)

Answer 15

but hypotenuse is 17.4
so AI = 17.4/2
yes! :)

Answer 16

so now add 8.7 to the 31.8 to get 40.5 then i got it and plug into the 1/2h(b1+b2) :D

Answer 17

you got it :D

Answer 18

thanks geometry is new to me - still trying to understand it all kinda trippy lol

Answer 19

with some practice, you'll love geometry :)