Rhombus ABCD has perimeter 160, and one of its diagonals has length 30. What is the area of ABCD?
1/ All sides of the rhombus are equal.
2/ The opposite sides of a rhombus are parallel.
3/ Opposite angles of a rhombus are equal.
4/ In a rhombus, diagonals bisect each other at right angles.
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Side a = 160 / 4 = 40
1/2 of the diagonal is 30 / 2 = 15
sqrt(402 - 152) = √1375
A = 2( 15 * √1375 )