Transcript Notes Area of Triangles and Parallelograms

Notes #71 Area of Triangles and
Parallelograms (11.1)
Postulate 24
Area of a square Postulate
The area of a square is the square of the
length of its sides.
A = s2
Postulate 25
Area Congruence Postulate
If two polygons are congruent, then they
have the same area.
Postulate 26
Area Addition Postulate
The area of a region is the sum of the areas
of its non-overlapping parts.
Theorem 11.1
Area of a Rectangle
The area of a rectangle is the product of its
base and height.
A = bh
Theorem 11.2
Area of a Parallelogram
The area of a parallelogram is the product
of a base and its corresponding height.
A=bh
Theorem 11.3
Area of a Triangle
The area of a triangle is one half the
product of a base and its corresponding height
A = ½ bh
Examples
Find the area of the polygons.
1.
2.
3.
Examples
4. Find the value of x.
Examples
5. Find the perimeter and area of the triangle.
Hypotenuse.: 17 ft.; leg: 8 ft.
Examples
6. Find the area of the quadrilateral.
Example
7. Find the area of the shaded region.
Independent Practice.
#1 Find the value of x.
Independent Practice.
#2 Find the perimeter and area of the triangle.
Hypotenuse.: 53 in.; leg: 45 in.
Independent Practice.
#3 Find the area of the quadrilateral.
Independent Practice.
#4 Find the area of the shaded region.
Independent Practice.
#5 In
ABCD, 𝐴𝐷 base
is 25 units and 𝐴𝐵 is 12
units. Find the height and area of  ABCD if
m∠A is 30