Area of Triangle-composite Figures
Objectives
Start
Types of Triangles
Areas of Triangles
Real-Life Problems
Summary
Types of Triangles
Types of triangles according to their angle: Acute, right, obtuse
The sum of all of the angles in a triangle is 180°
For instance:
Try it by yourself:
Areas of Triangles
Before calculating the area of a triangle, do you remember what the area of a rectangle is?
Rectangle Area
Height
Base
Triangle Area: It's half of the rectangle's area
Height
Base
Let's see some examples:
Example 2:
Find the area of the triangle △ABC shown in the figure
Example 1:
Find the area of a triangle with a height of 3 and a base of 8.
Area=12
Area=9
Try it by yourself:
Real-Life Problems
Listen, read, & solve
Lisa wants to paint the facade shown in the figure.
What is the area she's going to paint? Neglect windows and door's size.
1m
2m
Try it out
Solution
6m
Listen, read, & solve
Pedro wants to sell his land, but in order to determine its price, he has to make sure of the land area. Help: Each square in the grid represents 1m
4m
What is the area of the terrain?
2m
Try it out
Solution
5m
Summary
Great job!
See you next time
Welcome 6th graders!
A journey soon begin through Social Science experiences!
6TH-AREA-OF-TRIANGLE-COMPOSITE-FIGURES-EN © 2024 by CASURID is licensed under CC BY-NC-ND 4.0
Solution
MATERIAL
It is highly advised to have:
- Grid paper.
- Pencils of different colors.
- Eraser.
- A rule.
- Geogebra installed on your phone/tablet/computer (or use online version).
GEOMETRIC REASONING Standard 2: Model and solve problems involving two-dimensional figures and three-dimensional figures. MA.6.GR.2.1 Derive a formula for the area of a right triangle using a rectangle. Apply a formula to find the area of a triangle MA.6.GR.2.2 Solve mathematical and real-world problems involving the area of quadrilaterals and composite figures by decomposing them into triangles or rectangles
Solution
The land can be decomposed in three areas: Two triangles and a rectangle
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Transcript
Area of Triangle-composite Figures
Objectives
Start
Types of Triangles
Areas of Triangles
Real-Life Problems
Summary
Types of Triangles
Types of triangles according to their angle: Acute, right, obtuse
The sum of all of the angles in a triangle is 180°
For instance:
Try it by yourself:
Areas of Triangles
Before calculating the area of a triangle, do you remember what the area of a rectangle is?
Rectangle Area
Height
Base
Triangle Area: It's half of the rectangle's area
Height
Base
Let's see some examples:
Example 2: Find the area of the triangle △ABC shown in the figure
Example 1: Find the area of a triangle with a height of 3 and a base of 8.
Area=12
Area=9
Try it by yourself:
Real-Life Problems
Listen, read, & solve
Lisa wants to paint the facade shown in the figure.
What is the area she's going to paint? Neglect windows and door's size.
1m
2m
Try it out
Solution
6m
Listen, read, & solve
Pedro wants to sell his land, but in order to determine its price, he has to make sure of the land area. Help: Each square in the grid represents 1m
4m
What is the area of the terrain?
2m
Try it out
Solution
5m
Summary
Great job!
See you next time
Welcome 6th graders!
A journey soon begin through Social Science experiences!
6TH-AREA-OF-TRIANGLE-COMPOSITE-FIGURES-EN © 2024 by CASURID is licensed under CC BY-NC-ND 4.0
Solution
MATERIAL
It is highly advised to have:
GEOMETRIC REASONING Standard 2: Model and solve problems involving two-dimensional figures and three-dimensional figures. MA.6.GR.2.1 Derive a formula for the area of a right triangle using a rectangle. Apply a formula to find the area of a triangle MA.6.GR.2.2 Solve mathematical and real-world problems involving the area of quadrilaterals and composite figures by decomposing them into triangles or rectangles
Solution
The land can be decomposed in three areas: Two triangles and a rectangle