area of triangles and trapezoids #34. you can divide any parallelogram into two congruent triangles....
TRANSCRIPT
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AREA OF
TRIA
NGLES A
ND
TRAPE
ZOIDS
#3
4
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You can divide any parallelogram into two congruent triangles. So the area of each triangle is half the area of the parallelogram.
FYI
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VOCABULARY
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Find the area of the triangle.
Example 1: Finding the Area of a Triangle
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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.
Reading Math
FYI
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Example 2
Find the area of the triangle.
11 cm
4 cm
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The diagram shows the floor plan for a triangulardining area. What is the area of the floor?
Example 3
6.2 m
34.8 m
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The diagram shows the section of a forest being studied. What is the area of the section?
Example 4: Application
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Example 5Mitch uses the piece of wood shown as part of a skateboard ramp. Its area is 0.8 m .
What is the height of the piece of wood?.
2 m
2
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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.?.
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VOCABULARY
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Find the area of the trapezoid.
Example 7: Finding the Area of a Trapezoid
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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
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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?