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
We can find the height of the triangle by first determining the area of the rectangle that surrounds the entire composite shape. Since the area of the entire drawing is 78 square centimeters, and the rectangle surrounding it has a width of 6 cm, we can calculate the height of the rectangle as follows:
Area of rectangle = width x height
78 = 6 x height
height = 78 / 6
height = 13 cm
Now that we have the height of the rectangle, we can subtract the height of the triangle (8 cm) to find the height of the rectangle:
Height of rectangle - height of triangle = height of triangle
13 - 8 = 5 cm
Therefore, the height of the triangle is 5 cm.
Based on the options provided, the closest option to 5 cm is 10 cm, so the correct answer is 10 centimeters.