Use the image to answer the question. What is the area of the figure in square centimeters?
The parameter of thr figure is 8cm, 4cm, 10cm
To find the area of the figure, we first need to determine the type of shape it is.
From the given dimensions (8cm, 4cm, 10cm), it appears to be a triangle.
To calculate the area of a triangle, we can use Heron's formula:
Area = √(s * (s - a) * (s - b) * (s - c))
where a, b, c are the lengths of the sides and s is the semi-perimeter of the triangle, calculated as:
s = (a + b + c) / 2
Plugging in the values:
a = 8cm, b = 4cm, c = 10cm
s = (8 + 4 + 10) / 2 = 22 / 2 = 11
Now substitute the values into the Heron's formula:
Area = √(11 * (11 - 8) * (11 - 4) * (11 - 10))
Area = √(11 * 3 * 7 * 1)
Area = √(231)
Area ≈ 15.23 square centimeters
Therefore, the area of the figure is approximately 15.23 square centimeters.