2017 AMC 10B Problems/Problem 8
Contents
Problem
Points and
are vertices of
with
. The altitude from
meets the opposite side at
. What are the coordinates of point
?
Solution 1
Since , then
is isosceles, so
. Therefore, the coordinates of
are
.
Solution 2
Calculating the equation of the line running between points and
,
. The only coordinate of
that is also on this line is
.
Solution 3
Similar to the first solution, because the triangle is isosceles, then the line drawn in the middle separates the triangle into two smaller congruent triangles. To get from to the
r, we go to the right
and up
. Then to get to point
from point
, we go to the right
and up
, getting us the coordinates
. ~
Video Solution
~savannahsolver
Video Solution 2
https://youtu.be/XRfOULUmWbY?t=367
~IceMatrix
See Also
2017 AMC 10B (Problems • Answer Key • Resources) | ||
Preceded by Problem 7 |
Followed by Problem 9 | |
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 | ||
All AMC 10 Problems and Solutions |
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