2021 JMPSC Accuracy Problems/Problem 6
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
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