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Unformatted text preview: 112 Areas of Triangles and Quadrilaterals
A) Theorem 112 a. The area of a right triangle is half the product of its legs.
b. c. Proof:
i. 1) 2) What shape did we form? What do you know about the two triangles? (Their areas?) B) Theorem 113 a. The area of a triangle is half the product of any base and the corresponding altitude.
b. Proof: (There are three possible cases) i. Acute triangle ii. Right triangle iii. Obtuse triangle C) Altitude of a trapezoid a. The distance between the lines containing the parallel sides D) Theorem 114 a. The area of a trapezoid is half the product of its altitude and the sum of its bases b. Proof c. E) A= Theorem 115 a. The area of a parallelogram is the product of any base and the corresponding altitude. b. Proof c. A= F) Theorem 116 a. If two triangles have the same base b and the same altitude h, then they have the same area.
b. i. G) Theorem 117 a. If two triangles have the same altitude h, then the ratio of their areas is equal to the ratio of their bases b. c. d. Proof i. H) Example a. ...
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This note was uploaded on 05/16/2011 for the course ALGEBRA 098 taught by Professor Johnson during the Spring '09 term at Grand Valley State.
 Spring '09
 Johnson
 Algebra

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