Triangle c has a base of 10 ft and a height of 10 ft. Model the area equation for the triangle by decomposing and rearranging to find the area of triangle c
To model the area equation for triangle c, we'll first decompose the triangle into two right triangles by drawing a perpendicular line from the top vertex to the base. This will create two right triangles with the same height of 10 ft and bases of 5 ft each.
Now, we can find the area of each right triangle using the formula for the area of a triangle:
Area = 1/2 * base * height
For the first right triangle, the base is 5 ft and the height is 10 ft:
Area1 = 1/2 * 5 ft * 10 ft
Area1 = 25 ft^2
For the second right triangle, the base is also 5 ft and the height is 10 ft:
Area2 = 1/2 * 5 ft * 10 ft
Area2 = 25 ft^2
Now, we can find the total area of triangle c by adding the areas of the two right triangles:
Area = Area1 + Area2
Area = 25 ft^2 + 25 ft^2
Area = 50 ft^2
Therefore, the area of triangle c is 50 square feet.