Objectives: Develop & apply formulas for the area of triangles, parallelograms, & trapezoids.
description
Transcript of Objectives: Develop & apply formulas for the area of triangles, parallelograms, & trapezoids.
![Page 1: Objectives: Develop & apply formulas for the area of triangles, parallelograms, & trapezoids.](https://reader036.fdocuments.us/reader036/viewer/2022062502/568156c7550346895dc459a7/html5/thumbnails/1.jpg)
Objectives:- Develop & apply formulas for the area of
triangles, parallelograms, & trapezoids.
5.2 Area of Triangles, Parallelograms, & Trapezoids
Warm-Up:The length of the rectangle is 4 inches less than 3 times the width. The perimeter is 40 inches. Find the length and the width.
![Page 2: Objectives: Develop & apply formulas for the area of triangles, parallelograms, & trapezoids.](https://reader036.fdocuments.us/reader036/viewer/2022062502/568156c7550346895dc459a7/html5/thumbnails/2.jpg)
Draw a right triangle, how do you think we could determine the area if we only knew the length of the legs?
Collins Writing:
3 lines 2 minutes
________________________________
________________________________
________________________________
![Page 3: Objectives: Develop & apply formulas for the area of triangles, parallelograms, & trapezoids.](https://reader036.fdocuments.us/reader036/viewer/2022062502/568156c7550346895dc459a7/html5/thumbnails/3.jpg)
Parts of a Triangle:Base: Any side of a triangleNote-for each possible choice of the base of a triangle, there is a corresponding altitude and heightAltitude: a perpendicular segment from a vertex to a line containing the base of the triangle.Height: the length of the altitude
altitude
base
![Page 4: Objectives: Develop & apply formulas for the area of triangles, parallelograms, & trapezoids.](https://reader036.fdocuments.us/reader036/viewer/2022062502/568156c7550346895dc459a7/html5/thumbnails/4.jpg)
The area of a triangle can be found by multiplying the base by one half of the height(altitude)
Note: the height must be PERPENDICULAR to the BASE!!!
Area =
![Page 5: Objectives: Develop & apply formulas for the area of triangles, parallelograms, & trapezoids.](https://reader036.fdocuments.us/reader036/viewer/2022062502/568156c7550346895dc459a7/html5/thumbnails/5.jpg)
Area = ?
35in
48in
29in21in
Area = ?
![Page 6: Objectives: Develop & apply formulas for the area of triangles, parallelograms, & trapezoids.](https://reader036.fdocuments.us/reader036/viewer/2022062502/568156c7550346895dc459a7/html5/thumbnails/6.jpg)
The base of one of the triangles in the pinwheel is 4 cm, the area is 14 cm2, what is the height of one triangle?
![Page 7: Objectives: Develop & apply formulas for the area of triangles, parallelograms, & trapezoids.](https://reader036.fdocuments.us/reader036/viewer/2022062502/568156c7550346895dc459a7/html5/thumbnails/7.jpg)
![Page 8: Objectives: Develop & apply formulas for the area of triangles, parallelograms, & trapezoids.](https://reader036.fdocuments.us/reader036/viewer/2022062502/568156c7550346895dc459a7/html5/thumbnails/8.jpg)
Parts of a Parallelogram:Base: Any side of a parallelogram
Altitude: a perpendicular segment from a line containing the base to a line containing the side opposite the base.
Height: the length of the altitude
altitude
base
base
𝑨𝒓𝒆𝒂=𝒃𝒉
![Page 9: Objectives: Develop & apply formulas for the area of triangles, parallelograms, & trapezoids.](https://reader036.fdocuments.us/reader036/viewer/2022062502/568156c7550346895dc459a7/html5/thumbnails/9.jpg)
![Page 10: Objectives: Develop & apply formulas for the area of triangles, parallelograms, & trapezoids.](https://reader036.fdocuments.us/reader036/viewer/2022062502/568156c7550346895dc459a7/html5/thumbnails/10.jpg)
Parts of a Trapezoid:Bases: the two parallel sides of a trapezoid
Altitude: a perpendicular segment from a line containing one base to a line containing the other base.Height: the length of the altitude
altitude
base
base
𝑨𝒓𝒆𝒂=𝟏𝟐 (𝒃𝟏+𝒃𝟐 )∗𝒉𝒐𝒓
𝒉(𝒃¿¿𝟏+𝒃𝟐)𝟐 ¿
Legs: the two non-parallel sides of a trapezoid
![Page 11: Objectives: Develop & apply formulas for the area of triangles, parallelograms, & trapezoids.](https://reader036.fdocuments.us/reader036/viewer/2022062502/568156c7550346895dc459a7/html5/thumbnails/11.jpg)
![Page 12: Objectives: Develop & apply formulas for the area of triangles, parallelograms, & trapezoids.](https://reader036.fdocuments.us/reader036/viewer/2022062502/568156c7550346895dc459a7/html5/thumbnails/12.jpg)
![Page 13: Objectives: Develop & apply formulas for the area of triangles, parallelograms, & trapezoids.](https://reader036.fdocuments.us/reader036/viewer/2022062502/568156c7550346895dc459a7/html5/thumbnails/13.jpg)
![Page 14: Objectives: Develop & apply formulas for the area of triangles, parallelograms, & trapezoids.](https://reader036.fdocuments.us/reader036/viewer/2022062502/568156c7550346895dc459a7/html5/thumbnails/14.jpg)
![Page 15: Objectives: Develop & apply formulas for the area of triangles, parallelograms, & trapezoids.](https://reader036.fdocuments.us/reader036/viewer/2022062502/568156c7550346895dc459a7/html5/thumbnails/15.jpg)
Example:Use the diagram and measurements given below to find the areas of the indicated figures.∆VWZ = ______
∆WXY = ______
VWXY = ______
WXYz = ______
9
8 17
10
6
W X
Z YV
![Page 16: Objectives: Develop & apply formulas for the area of triangles, parallelograms, & trapezoids.](https://reader036.fdocuments.us/reader036/viewer/2022062502/568156c7550346895dc459a7/html5/thumbnails/16.jpg)
HSPA questions of the day:
A C
B
2
BAC =A. 26o B. 64o
C. 77o D. 154o
m<2 =A. 26o B. 154o
C. 72o D. 103o
ABC is an isosceles triangle.AB BC and m<ABC =
![Page 17: Objectives: Develop & apply formulas for the area of triangles, parallelograms, & trapezoids.](https://reader036.fdocuments.us/reader036/viewer/2022062502/568156c7550346895dc459a7/html5/thumbnails/17.jpg)
Homework:Pages 308-309; Numbers 10-30
![Page 18: Objectives: Develop & apply formulas for the area of triangles, parallelograms, & trapezoids.](https://reader036.fdocuments.us/reader036/viewer/2022062502/568156c7550346895dc459a7/html5/thumbnails/18.jpg)