Jesse made a triangular canvas with dimensions, as shown below.
What is the area of the canvas in square centimeters?
To find the area of a triangle, you can use the formula A = 1/2 * base * height.
In this case, the base of the triangle is 10 cm and the height is 8 cm.
Plugging these values into the formula, we have:
A = 1/2 * 10 cm * 8 cm
A = 40 cm^2
Therefore, the area of the canvas is 40 square centimeters.
the inside has a line through the middle and on the in side there is a 16 next to the line on the out side on both sides of the outside of the triangle is a 20 and on the bottom is a 24
It seems that the given information describes a triangle with different dimensions on each side.
If the lengths of the two shorter sides are 20 cm, and the length of the longer side is 24 cm, we can determine the area using Heron's formula.
First, we need to find the semi-perimeter of the triangle. The semi-perimeter is half the sum of the lengths of all three sides.
Semi-perimeter = (20 cm + 20 cm + 24 cm) / 2
Semi-perimeter = 64 cm / 2
Semi-perimeter = 32 cm
Next, we can use Heron's formula to calculate the area of the triangle:
Area = √(s * (s - a) * (s - b) * (s - c))
where s is the semi-perimeter and a, b, and c are the lengths of the triangle's sides.
Area = √(32 cm * (32 cm - 20 cm) * (32 cm - 20 cm) * (32 cm - 24 cm))
Simplifying,
Area = √(32 cm * 12 cm * 12 cm * 8 cm)
Area = √(36864 cm^4)
Area ≈ 192 cm^2
Therefore, the area of the triangular canvas is approximately 192 square centimeters.