Carlos C.
asked • 02/02/21If BC = 12 cm and tan ∠ABC=0.583, what is the area of △ABC?
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1 Expert Answer
Nazlee R. answered • 02/02/21
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Draw a perpendicular bisector from vertex to the base of the triangle which is BC=12.
tan<ABC =.583
1/2 of BC is 6
opp. (ht. of the triangle)/6=.583
h/6 = .583
h= 3.5
area of the triangle is 1/2*12*3.5=21 sq. cm.
Carlos C.
The multiple choices are only 144cm^2 84cm^2 72^2 42^2
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02/02/21
Nazlee R.
tutor
You don’t have to bisect the base. So the area is 1/2*12*7=42 sq.cm.
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02/03/21
Nazlee R.
tutor
I needed to mention that a diagram would be helpful. The height of the triangle is h/12=.583, h=7.
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02/03/21
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Mark M.
In what kind of figure are these measures?02/02/21