Problem 961

Find the area k of the triangle.






To find the area of the triangle, use the following theorem.

The area K of a triangle equals one-half the product of two of its sides times the sign of their included angle.

According to this theorem, the formula K = \frac{1}{2}ac sin B  can be used to find the area of the triangle specified in the problem statement.

Using the formula K = \frac{1}{2} ac sin B with a = 4, c = 9, B = 40°  given the following result.

K = \frac{1}{2} ac sin B

= \frac{1}{2}* 4 * 9 sin 40°

Simplify the right side to find the area of the triangle.

K \approx11.57 square units.


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