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2Tvwo §6.2 Calculating a side
§6.2 Calculating a side
Do you remember our old, bearded friend from the past?
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§6.2 Calculating a side
Do you remember our old, bearded friend from the past?
Slide 1 - Tekstslide
Who is he?
Slide 2 - Woordweb
§6.2 Calculating a side
Welcome back to: Pythagoras!
Next slide shows us another picture
of this great Maths chap, that coud've been anybody's neighbour. Or uncle, for that matter...
Slide 3 - Tekstslide
Slide 4 - Tekstslide
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 5 - Quizvraag
The theorem of Pythagoras...
asks for the use of a very handy scheme!
Slide 6 - Tekstslide
Let's do exercise 8 together,
start doing 8 a), making a sketch!
Slide 7 - Tekstslide
Here is the sketch:
Slide 8 - Tekstslide
Now think hard about b:
Slide 9 - Tekstslide
answer for b:
Slide 10 - Tekstslide
Do c now:
First copy the scheme! Then:
Slide 11 - Tekstslide
answer for c:
Slide 12 - Tekstslide
Slide 13 - Tekstslide
Time to do d:
Slide 14 - Tekstslide
answer for d:
'exact' is not rounded off!
Slide 15 - Tekstslide
Homework time.
Do §6.2 now,
+ start with 7, then 9, 10, etcetera
+ 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 16 - Tekstslide
A few fine points from this paragraph follow now!
Slide 17 - Tekstslide
How to calculate length BD?!
Slide 18 - Tekstslide
We want to calculate BD.
What to calculate first?
Slide 19 - Woordweb
Solution: First calculate length CD in right-angled triangle ACD.
Then only calculate length BD in right-angled triangle BCD!
Slide 20 - Tekstslide
One more new thing from §6.2!
Slide 21 - Tekstslide
How (on earth) can you calculate DE or GH?
We do not even have a right-angled triangle!
Slide 22 - Tekstslide
How to calculate these lengths?
Slide 23 - Woordweb
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 24 - Tekstslide
Slide 25 - Tekstslide
Homework time again.
Finish as much as you can!
Slide 26 - Tekstslide
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