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I've already found the bottom triangle's area (13.59m^2) but am having trouble finding an angle at the top to find the other triangle's area. The final answer should be 17.3m^2 but I'm not sure how to get there. Just need the workings out for question a. Any help would be really appreciated. Thanks!


 May 3, 2020
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Nevermind I ended up figuring it out.

 

I used 6^2+5^2-2*6*5*cos(65) = 35.64, (sqrt = 5.97) to find the length of the black line,

 

then 2.5^2+4^2-5.97^2/2*2.5*4 = -0.67, cos^-1(-0.67) = 132.04 to get the angle at b (top triangle)

 

and finally 0.5*2.5*4*sin(132.04) = 3.71, 3.71 + 13.59 = 17.3m^2

 

Area = 17.3m^2

 May 3, 2020

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