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Areas of Triangles Trapezoids, Rhombuses, and Kites

Objectives *Derive formulas for the areas of triangles, trapezoids and kites *Apply area formula to solve problems *Develop cooperative behavior

Area of a Triangle The area of a triangle is half the product of a base and the corresponding height. A = 1/2 bh h b

The base of a triangle is any of its sides. The corresponding height is the length of the altitude to the line containing that base. h b

Find the area.

Trapezoids Recall that the bases of a trapezoid are the parallel sides and the legs are the nonparallel sides. The height of a trapezoid is the perpendicular distance h between the bases. legs base height

Area of a Trapezoid The area of a trapezoid is half the product of the height and the sum of the bases. A = 1 / 2 h (b 1 + b 2 ) b2b2 b1b1 h

Find the area of each figure. Leave it in simplest radical form.

Area of a Rhombus or Kite The area of a rhombus or a kite is half the product of the lengths of its diagonals. d1d1 d2d2 A = 1 / 2 d 1 d 2

Find the area of each figure. Leave your answer in simplest radical form.

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