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other
pages.
Pythagoras
was
a
guy
who
lived
in
Greece
around
2600
years
ago.
He
figured
out
how
to
use
triangles
to
calculate
stuff.
His
calculations
were
so
good
that
engineers
still
use
those
calculations.
Hi!
Click
the
play
icon
Here
are
a
couple
of
examples
to
show
how
Pythagoras
is
relevant
today.
Even
computer
games
use
Pythagoras.
In
computer
games
X
and
Y
distance
of
a
shot
is
used
to
calculate
the
diagonal
distance
travelled
by
the
projectile.
Gaming
In
architecture
and
home
renovation
a
lot
of
angles
and
lengths
are
calculated
using
Pythagoras.
Architecture
Television
screen
sizes
were
initially
measured
diagonally.
Today
we
still
measure
screens
that
way.
The
size
of
your
flat
screen,
smartphone
and
tablet
is
described
as
the
length
of
the
diagonal
of
the
screen.
Pythagoras
allows
designers
to
accurately
calculate
the
diagonals
of
displays.
Engineering
and
design
Cranes
are
used
in
construction
and
shipping.
Using
triangles
to
build
the
cranes
effectively
distributes
the
lifting
forces.
Engineers
use
Pythagoras’s
calculations
to
know
how
far
and
high
cranes
can
lift.
Construction
and
shipping
8.
Skate
ramp
example
7.
Sample
calculations
2.
Theory
explanation
3.
Relevance
to
us
today
6.
Right
angle
triangle
5.
Square
root
4.
Squared
number
Required
Knowledge
1.
Intro
Click/press
any
of
the
boxes
to
view
the
content.
Communicate
the
calculation
by
writing
an
exponent
of
two
to
the
right
and
slightly
above
the
number,
for
example
“3
to
the
power
of
two”.
This
is
why
we
use
the
word
“squared”
when
we
multiply
a
number
by
itself.
We
can
draw
this
as
a
square
with
sides
that
are
three
units
long.
Drawing
out
the
square
shows
that
the
area
of
the
square
is
9
units.
When
we
multiply
3
by
itself
the
answer
is
9.
We
say
a
number
is
“squared”
when
we
multiply
the
number
by
itself.
Click
the
play
icon!
Square
roots
are
very
rarely
whole
numbers,
so
prepare
to
use
your
rounding
skills.
The
easy
way
to
get
the
number,
is
to
put
the
number
into
your
calculator
and
press
the
“√”
button.
To
get
back
to
the
original
number,
we
need
to
find
which
number
was
multiplied
by
itself
to
get
to
the
squared
value.
Consequently,
we
refer
to
a
number
multiplied
by
itself
as
a
“squared”
number.
The
area
of
a
square
is
calculated
by
multiplying
the
length
by
the
width.
Funny
thing
is,
in
a
square,
the
length
and
width
are
the
same!
hypotenuse
long
side
right
angle
Click
the
play
icon
to
watch
a
quick
display
diagram
of
Pythagoras’s
theorem.
With
a
right
angled
triangle
you
can
use
this
sum
to
calculate
the
lengths
of
the
sides
of
the
triangle.
You
don’t
always
have
to
calculate
the
long
side
(the
diagonal).
If
you
know
what
the
length
of
the
diagonal
is,
and
you
know
the
length
of
one
side,
you
can
calculate
the
length
of
the
other
short
side
by
subtraction.
If
you
calculate
the
square
root
of
any
of
these
values,
you
will
find
the
length
of
that
side.
is
equal
to
the
sum
of
the
square
values
on
the
two
other
sides.
He
said
that,
in
a
right
triangle,
the
square
value
of
the
long
side
2600
years
ago
Pythagoras
figured
out
how
to
use
any
two
sides
of
a
right
triangle
to
calculate
the
length
of
the
third.
short
side
2
short
side
2
long
side
2
Click
the
play
icons
to
continue
EQUALS
PLUS
If
you
need
to
cross
a
ravine
in
a
survival
situation
Pythagoras
is
there
to
help!
Click
the
play
icon
to
watch
the
explanation.
unknown
length
If
I
use
Pythagoras’s
theory
I
can
calculate
the
length
of
the
long
side
of
the
triangle,
giving
me
the
minimum
length
needed
for
the
rope.
If
I
think
like
a
real
nerd,
it
means
that
I
can
imagine
a
right
angled
triangle
because
I
know
the
lengths
of
two
of
the
sides
of
the
triangle.
I
guess
it’s
about
7
meters
away.
And
I’m
guessing
it’s
about
3
meters
lower
than
where
I
am
now.
The
opposite
side
of
the
ravine
is
lower
than
this
side.
A
rope
slide
will
work.
3
metres
7
metres
Here
is
the
calculation
to
determine
the
length
of
the
diagonal
of
the
overhang:
Ceiling
height
to
the
top
of
the
roof
is
1.2
meters.
The
patio
extends
for
2.8
meters
from
the
house..
I
am
building
a
patio
extension
at
my
house.
2.8
meters
1.2
meters
d
=
3.05m
d
=
9.28m
d
=
1.2m
2
+
2.8m
2
d
=
1.2m
2
+
2.8m
2
d
2
I
want
to
build
a
skateboard
slide.
I
think
Pythagoras
will
help
me
calculate
the
length
of
the
pipe
that
I
need
to
cut.
diagonal
Use
your
calculator
to
calculate
the
square
root
of
the
diagonal
value
above.
Round
to
one
decimal.
diagonal
height
length
Now
enter
the
correct
squared
values:
+
=
Length:
cm
cm
Height:
The
green
gridlines
are
in
centimetre
measurement
units.
Enter
the
lengths
of
the
sides
of
the
triangle
below:
I
want
to
extend
this
round
metal
slide
down
to
the
ground.
It’s
easy
to
see
that
I
can
use
a
triangle
to
calculate
the
length
of
the
pipe.
Well
done!
The
point
of
this
tutorial
was
to
make
you
aware
of
the
fact
that
Pythagoras’s
theory
is
alive
and
well,
and
very
relevant
to
us
today.
You
need
to
understand
a
little
bit
of
geometry,
algebra
and
basic
arithmetic
to
use
Pythagoras’s
theorem.
But
I
hope
that
you
will
be
able
to
apply
the
Pythagoras
theorem
in
your
own
life
now.