John Roy creates this drawing of a composite shape of an art contest. The area of the drawing is 78 square centimeters what is the height of the triangle
8 centimeters
13 centimeters
10 centimeters
12 centimeters
6 cm across the bottom
6 cm at the top
To find the height of the triangle, we need to use the formula for the area of a triangle: Area = 0.5 * base * height.
Since the bottom of the triangle is 6 cm and the top is also 6 cm (forming a trapezoid shape), we can treat this as two triangles with a base of 6 cm each.
The total area of the composite shape is 78 square centimeters, so the area of each triangle is 39 square centimeters.
Using the formula for the area of a triangle, we can set up the equation:
39 = 0.5 * 6 * height
39 = 3 * height
height = 13 cm
Therefore, the height of the triangle is 13 centimeters.