Find the Area of the Triangle

question 8

Short Answer

Find the area of the triangle. If necessary, round the answer to two decimal places.
-Penrose tiles are formed from a rhombus WXYZ with sides of length 1 and interior angles 72° and 108°. (Refer to
the illustration.) A point O is chosen on the diagonal 1 unit from Y. Line segments OX and OZ are drawn to the other
vertices. The two resulting tiles are called a kite (figure OXYZ) and a dart (figure OXWZ). Find the area of the kite tile
and the dart tile, correct to the nearest 0.01.

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