Introduction
Measurement: Triangles
The purpose of this week’s work is to:
- Familiarize yourself with the theoretical knowledge w.r.t triangles
- Ensure that you familiarize yourself with all the concepts and how to use it.
- Understand the Theorem of Pythagoras and know how to apply it to problems.
-
OR
Example 3:
a2
+ b2
= c2
( pyth)c2
= a2- b2
c2
= 412- 402
c2
= 1681- 1600
c2
= 81c2
= 81
c
= 9cm_________________________________________________________________________
Task
You are required to complete the following tasks.( Show all calculations)
Task 1
A rectangle has sides with lengths 36 mm and 77 mm. Find the length of the rectangle's diagonal.
Task 2.
Mervin puts the base of a 13 m ladder 5 m away from the wall of his house as shown below. How far up the wall does the ladder reach?
_________________________________________________________________________
Process
To complete the tasks given:
Just remember that we are working with a triangle.
- A triangle has three sides, three angles, and three vertices.
- The sum of all internal angles of a triangle is always equal to 180°. This is called the angle sum property of a triangle.
- The sum of the length of any two sides of a triangle is greater than the length of the third side.
- https://e-gmat.com/blogs/properties-of-triangles/
Evaluation
Answers
Task 1
A rectangle has sides with lengths 36 mm and 77 mm. Find the length of the rectangle's diagonal.
a2 + b2 = c2 ( pyth)
a2 = b2+ c2
a2 = 772+ 362
a2 = 5929 + 1296
a2
= 7225
a
= 85mm
Task 2
Mervin puts the base of a 13 m ladder 5 m away from the wall of his house as shown below. How far up the wall does the ladder reach?
a2 + b2 = c2 ( pyth)
c2 = a2- b2
c2 = 132- 52
c2 = 169- 25
c2 = 144
c = 12m
_________________________________________________________________________
Conclusion
Important:
Please complete activities
This might be a new platform for all of us, but Covid-19 has affected each one of us.
This is new for all.
- Try to study on your own
- Research activities on Triangles or Pythagoras
- Stay Safe
- Sanitize at all times.
Credits
Created and edited by:
Kyle Hamilton
Resources: Via Afrika Mathematical Literacy Grade 12.
Teacher Page
Please notice:
Learners need to know that it is very important to complete each activity or task given. The following Chapter that will be completed is Measurements(Area, perimeter and volume) ensure that each of you learners know the formulas of theorem of pythagoras.
View the Following Videos to familiarise yourself with the next chapter