
54 Chapter 2
what does “the same” mean?
The design tells us that some triangles are repeated
The designer made a note saying that the two mountain
triangles are the same but rescaled, or different sizes.
There’s also a note saying that the mountain tip is the same
triangle as the whole mountain.
But what exactly does he mean by “the same triangle”?
Jim: Yeah, I mean, the designer is talking nonsense. One of
them is bigger than the other. How on earth can they be the
same?
Frank: Well, maybe he was talking about angles. Can you have
two triangles with the same angles but with different lengths?
These notes are a big hint
about the missing information.
Same triangle?
I don’t get what
this means.
120
56
6060
37.5
30
40
48
40
6
60
41º 53º
This corner also
90
Hand draw the
sun and rays
Frank
Jim
Mountain
tip triangle
is the same
shape
triangle as
the whole
mountain
The two mountain triangles
are the same shape, but
rescaled/flipped