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

1 answer

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.