Question

In ΔVWX, v = 670 cm, angle V = 33°, and angle W = 110°. Find the area of ΔVWX, to the nearest 10th of a square centimeter.

Answer 1

To find the area of triangle VWX, use the formula: Area = 1/2 * base * height. Substitute the given values and calculate the area.

Step-by-step explanation:

To find the area of triangle VWX, we can use the formula:

Area = 1/2 * base * height

First, we need to find the length of the base and the height:

Using the law of sines, we can find the length of side WX: WX/sin(W) = VW/sin(V)

WX = VW * sin(W) / sin(V) = 670 cm * sin(110°) / sin(33°)

Next, we can use the formula to find the area:

Area = 1/2 * WX * VW * sin(V)

Substituting the values, we have:

Area = 1/2 * 670 cm * sin(110°) / sin(33°) * 670 cm * sin(33°)

Calculating this, we get the approximate area of triangle VWX to the nearest 10th of a square centimeter.