Calculate the area of a triangle with a=10 , b=11 , and C=25° rounded to the nearest tenth.

Answer 1

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.