# 11.2 - 11-2 Areas of Triangles and Quadrilaterals A Theorem...

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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) What shape did we form? 2) 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

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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

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