Question

HELP! I NEED SOMEBODY

What is the area of the triangle?
Enter your answer as a decimal in the box. Round only your final answer to the nearest tenth.

One side is 11cm. The other is 9cm. The measure of the angle is 63 degrees.

Answer 1

44.1 cm².

Explanation:

To find the area of the triangle, we can use the formula:

Area = (1/2) * base * height

In this case, we have the lengths of two sides, 11cm and 9cm, and the included angle, 63 degrees. To find the height of the triangle, we can use the formula:

Height = side * sin(angle)

Plugging in the values:

Height = 9cm * sin(63°)

Height ≈ 9cm * 0.891007

Height ≈ 8.019063 cm

Now, we can calculate the area:

Area = (1/2) * 11cm * 8.019063 cm

Area ≈ 0.5 * 11cm * 8.019063 cm

Area ≈ 44.1043465 cm²

Rounding the final answer to the nearest tenth, the area of the triangle is approximately 44.1 cm².