Question

What is the area of this triangle?

Enter your answer as a decimal in the box. Round only your final answer to the nearest tenth.


in²

The figure contains a triangle. One side is 13 inches. A second side is 7.5 inches. The angle between the given sides is 94 degrees.

Answer 1

Area = 48.6 in²

Step-by-step explanation:

The area of the triangle can be calculated using the side-angle-side method as follows:

Area = 0.5 * first side * second side * sin(angle included between the two sides)

This rule is illustrated in the attached image.

Now, we have:

first side = 13 in

second side = 7.5 in

The angle included between the two sides = 94 degrees

The given angle is included between the two given sides, therefore, we can apply the above rule to get the area.

Area of triangle = 0.5 * 13 * 7.5 * sin(94)

Area of triangle = 48.63 which is approximately 48.6 in²

Hope this helps :)