- Answer: 12ft²
Step-by-step explanation: Hello There!
When we are given two side lengths and the included angle we use this formula to solve for the area
A = 1/2absin(C)
where a and b = the side lengths and c = the included angle
The triangle gives us the following information
side length - 10 ft
side length - 4 ft
included angle - 37
Given this information we plug it into the formula
A = 1/2 4 * 10sin(37)
10 * 4 = 40
40sin(37) = 24.07260093
24.07260093 = 12.03630046
2
Finally we round to the nearest tenth and get that the area of the triangle is 12ft²