Difference between revisions of "2021 JMPSC Accuracy Problems/Problem 6"
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+ | ==See also== | ||
+ | #[[2021 JMPSC Sprint Problems|Other 2021 JMPSC Sprint Problems]] | ||
+ | #[[2021 JMPSC Sprint Answer Key|2021 JMPSC Sprint Answer Key]] | ||
+ | #[[JMPSC Problems and Solutions|All JMPSC Problems and Solutions]] | ||
+ | {{JMPSC Notice}} |
Revision as of 16:21, 11 July 2021
Contents
[hide]Problem
In quadrilateral , diagonal bisects both and . If and , find the perimeter of .
Solution
Notice that since bisects a pair of opposite angles in quadrilateral , we can distinguish this quadrilateral as a kite.
With this information, we have that and .
Therefore, the perimeter is
~Apple321
Solution 2
We note that triangle and are congruent due to congruency. Therefore, and the perimeter of the quadrilateral is
~Grisham
See also
The problems on this page are copyrighted by the Junior Mathematicians' Problem Solving Competition.