Question

which of the following equations could be used to find the area of the triangle? the figure is not drawn to scale answer area = 1/2(37)(23)sin(34) area = 1/2(37)(22)sin(111) area = 1/2(23)(37)sin(35) area = 1/2(23)(22)sin(35)

Explanation:

Step1: Recall area - formula for a triangle

The formula for the area of a triangle with two - side lengths \(a\) and \(b\) and the included angle \(\theta\) is \(A=\frac{1}{2}ab\sin\theta\).

Step2: Identify the sides and included angle

We have side lengths \(a = 22\) and \(b = 37\), and the included angle between them is \(111^{\circ}\).

Answer:

Area \(=\frac{1}{2}(37)(22)\sin(111)\)