# 2Tvwo §6.2 part 1 Calculating a side and part 2

§6.2 Calculating a side
Do you remember our old, bearded friend from the past?
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Slide 1: Slide
WiskundeMiddelbare schoolvwoLeerjaar 2

This lesson contains 27 slides, with interactive quizzes and text slides. Lesson duration is: 50 min

## Items in this lesson

§6.2 Calculating a side
Do you remember our old, bearded friend from the past?

#### Slide 1 -Slide

Learning goal:
You will learn how to calculate the length of an

UNKNOWN side of a right-angled triangle

Who is he?

#### Slide 3 -Mind map

§6.2 Calculating a side
Welcome back to: Pythagoras!
Next slide shows us another picture
of this great Maths person

#### Slide 5 -Slide

The theorem of Pythagoras
A
is about the sides of a right-angled triangle
B
is used to calculate an unknown side
C
is invented by Pete Agoras
D
is more than 2000 years old but still going strong

#### Slide 6 -Quiz

The theorem of Pythagoras...
asks for the use of a very handy scheme!

exercise 6
length side
area square
p =
.. =
.. =

#### Slide 8 -Slide

Let's do exercise 8 together,
start doing 8 a), making a sketch!

#### Slide 9 -Slide

Here is the sketch:

#### Slide 12 -Slide

Do c now:
First copy the scheme! Then:

Time to do d:

#### Slide 15 -Slide

'exact' is not rounded off!

#### Slide 16 -Slide

Homework time.
Do 0f §6.1 and 6.2 now,
+  6, 7 and 8
+  make the SCHEME with lengths for every exercise!!
+  remember to place the hypotenuse (=longest side) at the bottom
+ later on this LessonUp is continued

#### Slide 17 -Slide

A few fine points from this paragraph follow now!

#### Slide 18 -Slide

6.2 part 2 How to calculate length BD?!

#### Slide 19 -Slide

We want to calculate BD.
What to calculate first?

#### Slide 20 -Mind map

Solution:   First calculate length CD in right-angled triangle ACD.
Then only calculate length BD in right-angled triangle BCD!

#### Slide 21 -Slide

One more new thing from §6.2!

#### Slide 22 -Slide

How (on earth) can you calculate DE or GH?
We do not even have a right-angled triangle!

#### Slide 23 -Slide

How to calculate these lengths?

#### Slide 24 -Mind map

Solution: we make a right-angled triangle ourself!!
With that we can make the SCHEME and calculate the unknown side.
In the next slide you see Pythagoras, going crazy about his Theorem once more...

#### Slide 26 -Slide

Homework time again.
Finish as much as you can!