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Developing Formulas for Triangles and Quadrilaterals

Developing Formulas for Triangles and Quadrilaterals. Geometry H2 (Holt 10-1) K. Santos. Area of a Parallelogram. Area = product of its base and height A= bh Base must be perpendicular to the height b h 5cm 3cm 9cm . Example.

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Developing Formulas for Triangles and Quadrilaterals

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  1. Developing Formulas for Triangles and Quadrilaterals Geometry H2(Holt 10-1) K. Santos

  2. Area of a Parallelogram Area = product of its base and height A= bhBase must be perpendicular to the height b h 5cm 3cm 9cm

  3. Example Find the perimeter of a parallelogram, in which the base is 4ft and the area is 12 .

  4. Area of a Triangle Area = one half of the product of its base and height A= bh or A = Base perpendicular to height h h h b b b If b = 4” and h = 6”

  5. Example—finding a side The area of a triangle is 24 and its height is 3 cm. Find the length of its corresponding base.

  6. Area of a Trapezoid Area = (average of the bases)(height) A = h h Remember: height is perpendicular to both bases

  7. Example 1--Trapezoid Find the area of the trapezoid. 20 in 25 in 18 in 36 in

  8. Example 2--Trapezoid Find the area of the trapezoid. 11 ft 13 ft 16 ft

  9. Area of a Rhombus The area of a rhombus is half the product of the lengths of its diagonals. A = Example: Find the area if the diagonals are: 6 in and 8 in

  10. Area of a Kite The area of a kite is half the product of the lengths of its diagonals. A = Example 1: Kite with diagonals 9 cm & 8 cm

  11. Example 2--Kite Find the area of the kite. 5” 4” A = 6”

  12. Formulas Square: A = bh Rectangle: A = bh Parallelogram: A = bh Trapezoid: A = h Triangle: A = ½ bh Rhombus: A = Kite: A =

  13. Area Addition Postulate The area of a region is equal to the sum of the areas of its nonoverlappingparts. Best way to find this area is to find the area of rectangle + area of triangle

  14. Example—Partitioning Shapes Find the area of the shape below: 4 9 14 13 16 Find the sum of the areas of the rectangle and the triangle

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