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10-2 Areas of Trapezoids, Rhombuses, and Kites. You will find the area of a trapezoid, a rhombus, and a kite. b 2. h. b 1. Theorem 10-4. 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 ). Example:. 21 in.
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You will find the area of a trapezoid, a rhombus, and a kite.
b2 h b1 Theorem 10-4 Area of a Trapezoid The area of a trapezoid is half the product of the height and the sum of the bases. A = 1/2h(b1+b2)
Example: 21 in. 16 in. 38 in. Find the area for the following trapezoid A = 1/2 · (16in.) · (21in.+38in.) A = 1/2 · (16in.) · (59in.) A = 440 in2
d1 d1 d2 d2 Theorem 10-5 Area of a Rhombus or a Kite The area of a rhombus or a kite is half the product of the lengths of its diagonals. A = 1/2d1d2
Example: Find the area for the following kite 6.5 2 10 6.5 A = 1/2 · (2+10) · (6.5+6.5) A = 1/2 · (12) · (13) A = 78
Example: Area = 3.46 * (5+7)/2 5m h 600 7m Area = 20.762 Find the area for the following using a right triangle 3.46m 2m Area = bh Need the height 300,600,900 longer leg = shorter leg 3 h = 3.46
Assignment Workbook Page 441 all