Calculate the area of a triangle with a=10 , b=11 , and C=25° rounded to the nearest tenth.
To calculate the area of a triangle using the given information, we can use the formula:
Area = (1/2) * a * b * sin(C)
Plugging in the values:
Area = (1/2) * 10 * 11 * sin(25°)
To find the sine of 25°, we can use a calculator. The sine of 25° is approximately 0.4226.
Plugging in the value:
Area = (1/2) * 10 * 11 * 0.4226
Area ≈ 23.24
Rounding to the nearest tenth:
Area ≈ 23.2
Therefore, the area of the triangle is approximately 23.2 square units.