FYI You can divide any parallelogram into two congruent triangles. So the area of each triangle is half the area of the parallelogram.
Example 1: Finding the Area of a Triangle Find the area of the triangle.
FYI Reading Math An altitude of a triangle is a perpendicular segment from one vertex to the line containing the opposite side. The length of the altitude is the height.
Example 2 Find the area of the triangle. 4 cm 11 cm
Example 3 The diagram shows the floor plan for a triangular dining area. What is the area of the floor? 6.2 m 34.8 m
Example 4: Application The diagram shows the section of a forest being studied. What is the area of the section?
Example 5 Mitch uses the piece of wood shown as part of a skateboard ramp. Its area is 0.8 m . 2 What is the height of the piece of wood?. 2 m
Example 6 Mitch wants his skateboard ramp to be at least 750 cm tall. Should he use this piece of wood to build the ramp? Explain.?.
Example 7: Finding the Area of a Trapezoid Find the area of the trapezoid.
Example 8 Lisa wants to cut a hole in the shape of a trapezoid out of a piece of wood. The figure shows her plans, and each square of the grid represents 1 ft . What is the area of the remaining wood after she cuts out the hole? 2
Example 9 The figure shows a vegetable garden that is planted with squash and carrots. To the nearest percent, how much of the vegetable garden is for squash?