What is the area of a......
parallelogram. with a triangle.
with a base of 19ft.
and the triangle being a 30-60-90.
with a hypotenose of 16ft
To find the area of a parallelogram with a triangle, you need to consider the triangle as one of the diagonals of the parallelogram.
First, let's determine the height of the parallelogram using the given triangle information. In a 30-60-90 triangle, the length of the shorter leg is half the length of the hypotenuse. So, in this case, the length of the shorter leg (opposite the 30-degree angle) is 16ft / 2 = 8ft.
Since the shorter leg of the triangle represents the height of the parallelogram, we now have enough information to calculate the area.
To find the area of a parallelogram, multiply the base by the height. In this case, the base is given as 19ft and the height is 8ft.
Area = Base * Height
Area = 19ft * 8ft
Area = 152 square feet.
Therefore, the area of the parallelogram is 152 square feet.