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

Question

1689 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-04-07T09:39:09

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

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

![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.

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

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

If sides A and B of a triangle have lengths of 7 and 4 respectively, and the angle between them is (3pi)/43π4(3pi)/4, then what is the area of the triangle?