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If sides A and B of a triangle have lengths of 1 and 7 respectively, and the angle between them is #(pi)/4#, then what is the area of the triangle?

1 Answer

Harish Chandra Rajpoot

Jul 4, 2018

#2.474873734\ \text{unit}^2#

Explanation:

If #C=\pi/4# is the angle between two sides #a=1# & #b=7# of a triangle then the area of triangle is given as follows

#=1/2ab\sin C#

#=1/2(1)(7)\sin(\pi/4)#

#=7/2\frac{1}{\sqrt2}#

#=7/{2\sqrt2}#

#=2.474873734#

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