Q:

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. in²The 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.

Accepted Solution

A:
Answer:Area = 48.6 in²Explanation: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 insecond side = 7.5 inThe angle included between the two sides = 94 degreesThe 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 in²Hope this helps :)