11-2 Areas of Parallelograms, Triangles, and Rhombuses
11-2 Areas of Parallelograms, Triangles, and Rhombuses
Theorem 11-2 – The area of parallelogram equals the product of a base and the height to that base. (A = bh)
Theorem 11-3 – The area of a triangle equals half the product of a base and the height to that base.
[pic]
Theorem 11-4 – The area of a rhombus equals half the product of its diagonals.
[pic]
Practice:
Find the area of:
1.) A triangle with base 12 and corresponding height 6.
2.) A rhombus with diagonals 8 ft and 4 ft.
3.) An equilateral triangle with sides 8 in. (use the picture to solve)
4.) If the one diagonal of a rhombus is 16, and the sides are all 10, find the area.
(use the picture to solve) – remember that the diagonals are perpendicular.
5.) A triangle with sides 9, 12, and 15. (hint – this is a right triangle)
6.) This trapezoid
7.) An isosceles trapezoid with legs equal to 15, and bases equal to 16 and 34
-----------------------
h
b
h
b
d1
d2
8
8
60(
h
22
14
10
10
10
10
In a right triangle, the legs are the base and height
7
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