2002 AMC 10B Problems/Problem 22
Problem
Let be a right-triangle with
. Let
and
be the midpoints of the legs
and
, respectively. Given
and
, find
.
Solution
Let and
. By the Pythagorean Theorem,
and
We wish to find
. So, we add the two equations, multiply by
, and take the square root.
See Also
2002 AMC 10B (Problems • Answer Key • Resources) | ||
Preceded by Problem 21 |
Followed by Problem 23 | |
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All AMC 10 Problems and Solutions |