Question

What is the area of △ABC?

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


m²

A 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.

Answer 1

Area = 492.4 m²

Step-by-step explanation:

Answer 2

Answer:
Area = 492.4 m²

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 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

Hope this helps :)