The composite figure has an area Of 156 square meters. What is the height of the triangle?
To find the height of the triangle, we first need to determine the base of the triangle within the composite figure.
Let's denote the base of the triangle as 'b', the width of the rectangle as 'w', and the height of the rectangle as 'h'.
The area of the rectangle is given by:
Area of rectangle = w * h
The total area of the composite figure is the sum of the areas of the triangle and the rectangle:
156 = (1/2) * b * h + w * h
Since the base of the triangle is equal to the width of the rectangle (b = w), we can rewrite the equation:
156 = (1/2) * w * h + w * h
156 = w * h * (1/2 + 1)
156 = w * h * (3/2)
We know that the width of the rectangle (w) is 12 meters and the height of the rectangle (h) is 13 meters. Plugging in these values, we get:
156 = 12 * 13 * (3/2)
156 = 156 * (3/2)
156 = 234
Thus, the height of the triangle is 13 meters.