Question #30727

What is the area of the triangle below? Use sin 40 = 0.64.

slanted side: 22, bottom:29, inside corner: 40

A. 200.11

B. 202.61

C. 204.16

D. 224.61

Expert's answer


We have that angle A =40 deg, AB=22, AC=29

we know that area =0.5ABACsin(angle A)= 0.5^{*}\mathrm{AB}^{*}\mathrm{AC}^{*}\sin (\mathrm{angle~A})

sin(A)=sin(40)=0.64\sin (\mathrm{A}) = \sin (40) = 0.64

then area =0.522290.64=204.16= 0.5^{*}22^{*}29^{*}0.64 = 204.16

Correct answer C.

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