If sides #a=4.25,b=6.93# of a triangle and #m/_C=84.08^@#, area of triangle is?

#(A)# #12.57# square units
#(B)# #15.19# square units
#(C)# #14.65# square units
#(D)# #18.94# square units

1 Answer
Jim G. · Shwetank Mauria
Aug 23, 2017

#(C)" Area "=14.65" square units to 2 dec. places"#

Explanation:

#"the area (A ) of the triangle is calculated using"#

#color(red)(bar(ul(|color(white)(2/2)color(black)(A=1/2 a bsinC)color(white)(2/2)|)))#

#"where a, b are 2 sides of the triangle and C is the"#
#"angle between them"#

#"here "a=4.25,b=6.93" and " C=84.08^@#

#rArrA=1/2xx4.25xx6.93xxsin84.08^@~~ 14.65to(C)#

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