How do you find the area of #triangle ABC# given b=7, c=8, sinA=3/5?

1 Answer
Jim G.
Dec 21, 2016

#84/5=16.8" square units"#

Explanation:

Given 2 sides and the angle between them, in a triangle, then the area (A) can be calculated using.

#color(red)(bar(ul(|color(white)(2/2)color(black)("Area "=1/2bcsinA=1/2ab sinC=1/2acsinB)color(white)(2/2)|)))#

#"Using Area" =1/2bcsinA#

#"where " b=7,c=8" and " sinA=3/5#

#rArr A=1/2xx7xx8xx3/5=(7xx8xx3)/(2xx5)#

#=168/10=84/5=16.8" square units"#

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