2001 CEMC Gauss (Grade 8) Problems/Problem 18
Problem
Two squares are positioned, as shown. The smaller square has side length and the larger square has side length
. The length of
is
Solution 1
We can draw point so that
and
are perpendicular at
, and then draw
. We can also make
and
of the sides of the square, like so:
An image is supposed to go here. You can help us out by creating one and editing it in. Thanks.
,
, and
because these are the side lengths of the square, so
and
.
An image is supposed to go here. You can help us out by creating one and editing it in. Thanks.
We then have a right triangle. We have a right triangle, so we have
.
~anabel.disher
2001 CEMC Gauss (Grade 8) (Problems • Answer Key • Resources) | ||
Preceded by Problem 17 |
Followed by Problem 19 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | ||
CEMC Gauss (Grade 8) |