A triangle has sides A, B, and C. The angle between sides A and B is #(3pi)/4# and the angle between sides B and C is #pi/12#. If side B has a length of 12, what is the area of the triangle?

Question

A triangle has sides A, B, and C. The angle between sides A and B is #(3pi)/4# and the angle between sides B and C is #pi/12#. If side B has a length of 12, what is the area of the triangle?

↳Redirected from "Suppose that I don't have a formula for #g(x)# but I know that #g(1) = 3# and #g'(x) = sqrt(x^2+15)# for all x. How do I use a linear approximation to estimate #g(0.9)# and #g(1.1)#?"

1 Answer

Impact of this question

1725 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-06-10T02:11:31

#color(maroon)("Area of " Delta = 26.35 " sq units"#

Explanation:

#hat A = pi/12, hat C = (3pi)/4, hat B = pi/6, b = 12#

To find Area of the triangle.

Applying the Law of Sines,

#a = (b * sin A) / sin B = (12 * sin (pi/12)) / sin (pi/6) = 6.21#

#"Area of " Delta = (1/2) a b sin C = (1/2) * 12 * 6.21 * sin ((3pi)/4)#

#color(maroon)("Area of " Delta = 26.35 " sq units"#

Science

Math

Humanities

... and beyond

A triangle has sides A, B, and C. The angle between sides A and B is #(3pi)/4# and the angle between sides B and C is #pi/12#. If side B has a length of 12, what is the area of the triangle?

1 Answer

Explanation:

Related questions

Impact of this question