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Areas of Parallelograms, Triangles, & Rhombuses Keystone Geometry

Areas of Parallelograms, Triangles, & Rhombuses Keystone Geometry. Area of a Parallelogram. h. b. Parallelogram Area: The area of a parallelogram equals the product of a base & the height to that base. (A = bh ). Area of a Triangle. h. h. b. b.

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Areas of Parallelograms, Triangles, & Rhombuses Keystone Geometry

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  1. Areas of Parallelograms, Triangles, & RhombusesKeystone Geometry

  2. Area of a Parallelogram h b Parallelogram Area: The area of a parallelogram equals the product of a base & the height to that base. (A = bh)

  3. Area of a Triangle h h b b Triangle Area Theorem: The area of a triangleequals half the product of a base & the height to that base. (A = bh)

  4. Area of a Rhombus A B C D M Rhombus Area Theorem: The area of a rhombus is equal to one half the product of its diagonals. Note! A Rhombus is also a parallelogram, so if you have the base and height you can use A(rhombus) = bh

  5. Summary h s h h b b h h b b A(square) = s2=bh A(rectangle) = bh A(||-gram) = bh b A(triangle) = A(rhombus) = bh

  6. Examples #1-6.Find the area of the figure. First, start with a drawing. Label all of the parts. Find the formula you want to use. Are you missing anything? If so, how can you find it? Plug in your given information and solve!

  7. Examples #1-3 1. A triangle with base 5.2 m & corresponding height 11.5 m. 2. A triangle with sides 3, 4, & 5. (what kind of triangle is this?) 3. A parallelogram with base 3& corresponding height 2.

  8. Examples #4-6 4. A rhombus with diagonals 4 and 6. 5. An equilateral triangle with sides of 8 feet. 6. An isosceles triangle with sides of 10, 10 and 16.

  9. More Examples 10 5 5 5 10 4 4 6 5 8 8 9. 7. 8. 15 5 13

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