11-5 area of triangles and trapezoids pages 489-492 indicator(s)- m6 use strategies to develop...
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![Page 1: 11-5 Area of Triangles and Trapezoids Pages 489-492 Indicator(s)- M6 Use strategies to develop formulas for finding area of trapezoids P8 Use formulas](https://reader038.vdocuments.mx/reader038/viewer/2022100508/56649e495503460f94b3bde3/html5/thumbnails/1.jpg)
11-511-5Area of Triangles and TrapezoidsArea of Triangles and Trapezoids
Pages 489-492
Indicator(s)-
M6 Use strategies to develop formulas for finding area of trapezoids
P8 Use formulas in problem solving
![Page 2: 11-5 Area of Triangles and Trapezoids Pages 489-492 Indicator(s)- M6 Use strategies to develop formulas for finding area of trapezoids P8 Use formulas](https://reader038.vdocuments.mx/reader038/viewer/2022100508/56649e495503460f94b3bde3/html5/thumbnails/2.jpg)
Area of TrianglesArea of Triangles A=A=½bh½bh• A triangle is a three-sided polygon.
• The area of a triangle can be defined by half of the product of the length of its base and its height. The height is always perpendicular to the base, exactly like the base and height of a
parallelogram.
• A=½bh
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ExampleExample
• Find the area of the triangle below. Round to the nearest tenth if necessary.
• A=½bh
• A=½(9)(3.2)
• A=½(28.8)
• A= 14.4 cm2
• The area of the given triangle is 14.4 cm2
9 cm.
3.2 cm
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Area of Trapezoids Area of Trapezoids A=A=½h(b½h(b11+b+b22))
• A trapezoid has two (2) bases, b1& b2. The height of the trapezoid is the perpendicular distance between the two bases.
• A=½h(b1+b2)
b1
b2
h
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ExampleExample
• Find the area of the trapezoid below. Round to the nearest tenth if necessary.
• A=½h(b1+b2)
• A=½(3)(4 + 7.6)
• A=½(3)(11.6)
• A= 17.4 m2
• The area of the given trapezoid is 17.4 cm2
4 m
3 m
7.6 m
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ExampleExample• The shape of the state of Montana resembles
a trapezoid. Estimate its area in square miles.
• A=½h(b1+b2)
• A=½(285)(542 + 479)
• A=½(285)(1021)
• A≈ 145,493 mi2
• The area of the Montana is about 145,493 mi2.
542 mi
285 mi
479 mi
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What if… What if… you are dealing with two different measurements?
Find the area of the given triangle. Round to the nearest tenth if necessary.
• A=½bh• A=½(13 in)(1 ft)• CONVERT & SOLVE! • A=½(13 in)(12 in)• A= 78 in2
13 in
1 ft
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Challenge…Challenge…
• Find the area of the trapezoid shown. Round to the nearest tenth if necessary.
• A=½h(b1+b2)
• HINT: HINT: To find the height, you will have to use the Pythagorean Theorem.To find the height, you will have to use the Pythagorean Theorem.
10 cm
6 cm
9cm