To find the area of triangle ABC, we can use the formula for the area of a triangle:
Area = (1/2) * base * height
First, we need to find the height of triangle ABC. To do this, we will use the sine function:
sin(C) = opposite/hypotenuse
sin(C) = height/b
height = b * sin(C)
height = 65m * sin(86 degrees)
height ≈ 65m * 0.9962
height ≈ 64.775m (rounded to three decimal places)
Now we can calculate the area:
Area = (1/2) * a * height
Area = (1/2) * 57m * 64.775m
Area ≈ 1847.778m² (rounded to three decimal places)
Therefore, the area of triangle ABC is approximately 1848 square meters.
if a=57 m, b=65 m, and ∠C=86 degrees, then what is the aea of △ ABC to the nearest square meter? the answer is not 1865 or 1856
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