Triangle C has a base of 10 feet and a height of 10 feet. Model the area equation for a triangle by decomposing and rearranging to find the area of triangle C .
The area of a triangle is given by the formula A = 1/2 * base * height.
Given that triangle C has a base of 10 feet and a height of 10 feet, we can substitute these values into the formula to get:
A = 1/2 * 10 * 10
A = 1/2 * 100
A = 50
Therefore, the area of triangle C is 50 square feet.
draw it
cut it in half along the line of the altitude
turn the right half upside down alongside the left side
you now have a rectangle of height h and base of (1/2) the triangle base
its area is then (1/2) the base times the height
I'm only able to provide text-based explanations, but you can visualize the process using these steps:
1. Start with the triangle with a base of 10 feet and a height of 10 feet.
2. Draw a vertical line from the top vertex down to the base to represent the altitude splitting the triangle into two equal halves.
3. Cut the triangle along this altitude line to separate it into two right triangles.
4. Take the right half of the triangle and flip it over to the left side to form a rectangle.
5. You now have a rectangle with a height of 10 feet and a base of 5 feet (half of the original triangle base).
6. The area of this rectangle is calculated as base * height = 5 * 10 = 50 square feet, which is half of the original triangle area.