11.2 - 11-2 Areas of Triangles and Quadrilaterals A)...

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Unformatted text preview: 11-2 Areas of Triangles and Quadrilaterals A) Theorem 11-2 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 11-3 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 11-4 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 11-5 a. The area of a parallelogram is the product of any base and the corresponding altitude. b. Proof c. A= F) Theorem 11-6 a. If two triangles have the same base b and the same altitude h, then they have the same area. b. i. G) Theorem 11-7 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.

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11.2 - 11-2 Areas of Triangles and Quadrilaterals A)...

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