2019 AMC 8 Problems/Problem 4
Solution
Because it is a rhombus all sides are equal. Implies all sides are 13. In a rhombus diagonals are perpendicular and bisect each other.
Which means =
=
.
Consider one of the right triangles.
=
.
=
.
Which means
=
.
Thus the values of the two diagonals are =
and
=
.
Which means area =
=
=