The composite figure has an area Of 156 square meters. What is the height of the triangle?
The height of the square is 10 and the base is 12.
First, find the area of the square:
Area of square = side * side = 10 * 10 = 100 square meters
Now, subtract the area of the square from the total area of the composite figure to find the area of the triangle:
156 - 100 = 56 square meters
Next, find the base of the triangle, which is the same as the base of the square:
Base of triangle = 12
Finally, use the formula for the area of a triangle (Area = 1/2 * base * height) to solve for the height of the triangle:
56 = 1/2 * 12 * height
56 = 6 * height
height = 56 / 6 = 9.33 meters
Therefore, the height of the triangle is 9.33 meters.