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In the diagram below, we know tan theta = 1/2. Find the area of the triangle.

 

 Nov 29, 2020
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If tan (theta)  =1/2....then    y = 1  and  x  = 2

So  r  = sqrt (1^2 + 2^2 )  = sqrt (5)

 

So.....sin (theta)  = 1/sqrt (5)

 

Area of triangle =   (1/2) (40)(60) * sin (theta)   =  (1/2) (2400) / sqrt (5)  =

 

1200 /sqrt (5)   =   1200sqrt (5)  / 5    =    240 sqrt (5)  units

 

 

cool cool cool

 Nov 29, 2020

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