Area of triangles and trapezoids

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Area of triangles and trapezoids

  1. 1. Area of Triangles and Trapezoids
  2. 2. Area of a TriangleThere are several different kinds of triangles. 1 A = bh 2 The formula for area of a triangle is because a triangle is half of a parallelogram.
  3. 3. Try it! 1 A= bh8 cm 2 A= 1 6 12 cm (12)(8) 1 2 A = 48 cm2
  4. 4. Try it! 1 A= 2 bh5 cm 7 cm 9 cm 1 45 A= 2 (9)(5) A = 22.5cm 2
  5. 5. You can see that the height is the distance between the bases. The base is the sum of the two parallel sides. So, the trapezoid is ½ of the created parallelogram. b2 b1 b2 •So the formula is ½(b1 + b2 )h
  6. 6. You try it! Find the area of this trapezoid. 1 A = (b1 + b2 )h 10 in 2 7 3 in 1 14 A= (4 + 10)3 1 2 4 in 2 A = 21 in
  7. 7. 1 A= (b1 + b2 )h6 in 2 in 2 8 in 4 1 8 A= (6 + 2)8 1 2 2 A = 32 cm

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