Calculate the area of a triangle with a=5 , b=7 , and C=40° rounded to the nearest tenth.
To find the area of a triangle with side lengths a and b and the included angle C, you can use the formula:
Area = (1/2) * a * b * sin(C)
In this case, a = 5, b = 7, and C = 40°.
Area = (1/2) * 5 * 7 * sin(40°)
To find the sine of 40°, you can use a calculator:
sin(40°) ≈ 0.6428
Plugging this back into the formula:
Area = (1/2) * 5 * 7 * 0.6428
Area ≈ 11.3008
Rounded to the nearest tenth, the area of the triangle is 11.3.