Find the area of the triangle. Use the formula sheet provided. (1 point) Responses 40 inches squared 40 inches squared 63 inches squared 63 inches squared 126 inches squared 126 inches squared 47 inches squared 47 inches squared Skip to navigation
andswers
113
189
11
52
angles: 128 degrees and (x-61)degrees
To find the area of a triangle, you can use the formula:
Area = 1/2 * base * height
First, we need to find the missing angle in the triangle. We know that the sum of the angles in a triangle is 180 degrees, so:
128 degrees + (x-61) degrees + missing angle = 180 degrees
128 + x - 61 + missing angle = 180
67 + x + missing angle = 180
x + missing angle = 113
Now, we can use the law of sines to find the missing angle:
sin(113 degrees)/x = sin(128 degrees)/47 inches
sin(113 degrees) = x * sin(128 degrees)/47
x = 47 * sin(113 degrees)/sin(128 degrees)
x ≈ 42.94 inches
Now that we have the values of the base (47 inches) and height (42.94 inches), we can calculate the area of the triangle:
Area = 1/2 * 47 inches * 42.94 inches
Area ≈ 1011.18 square inches
Therefore, the area of the triangle is approximately 1011.18 square inches.