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. The options are
3
7
8
6
To find the height of the triangle, first calculate the area of the square:
Area = base x height
Area = 12 x 10
Area = 120 square meters
Now, subtract the area of the square from the total area to get the area of the triangle:
156 - 120 = 36 square meters
Now, use the formula for the area of a triangle to find the height:
Area = 0.5 x base x height
36 = 0.5 x 12 x height
36 = 6 x height
height = 36 / 6
height = 6
Therefore, the height of the triangle is 6 meters.
The correct option is 6.