What is the area of △ABC?Enter your answer as a decimal in the box. Round only your final answer to the nearest tenth. m²A scalene triangle A B C. The base B C is labeled as 25 meters. Side A B is labeled as 40 meters. Angle B is labeled as 80 degrees.
Accepted Solution
A:
Answer: Area = 492.4 m²
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 these two sides)
This rule is illustrated in the attached image.
Now, we have: AB = 40 m BC = 25 m angle B which is the angle included between AB and BC = 80 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*40*25*sin(80) Area of triangle = 492.4 m²