If sides A and B of a triangle have lengths of 7 and 4 respectively, and the angle between them is #(3pi)/4#, then what is the area of the triangle?

1 Answer
sankarankalyanam
Apr 7, 2018

#:. color(orange)("Area of " Delta A_t =color(brown)(9.9 " sq units"#

Explanation:

#a = 7, b = 4, hat C = (3pi)/4#

![https://www.onlinemathlearning.com/http://area-triangle.html](https://useruploads.socratic.org/KtGOoqERxK1uzgSHlbug_area%20of%20triangle.png)

Now we know the measure of two sides and the included angle.

#:. "Area of " Delta A_t = (1/2) a b sin C#

#A_t = (1/2) * 7 * 4 * sin ((3pi)/4) = color(brown)(9.9 " sq units"#

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