Difference between revisions of "1963 AHSME Problems/Problem 25"
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Latest revision as of 23:33, 8 June 2018
Problem
Point is taken in side
of square
. At
a perpendicular is drawn to
, meeting
extended at
.
The area of
is
square inches and the area of
is
square inches. Then the number of inches in
is:
Solution
Because is a square,
,
, and
. Also, because
,
. Thus, by ASA Congruency,
.
From the congruency, . Using the area formula for a triangle,
. Finally, by the Pythagorean Theorem,
, which is answer choice
.
See Also
1963 AHSC (Problems • Answer Key • Resources) | ||
Preceded by Problem 24 |
Followed by Problem 26 | |
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 • 26 • 27 • 28 • 29 • 30 • 31 • 32 • 33 • 34 • 35 • 36 • 37 • 38 • 39 • 40 | ||
All AHSME Problems and Solutions |
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