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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Definitions:

Diagnosed

The identification of the nature of an illness or other problem by examination of the symptoms.

Dependent

Relying on someone or something else for support, sustenance, or aid, often used in statistics to describe a variable affected by another.

Medical Student Syndrome

A phenomenon where medical students perceive themselves or others to be experiencing the symptoms of the diseases they are studying.

Psychopathology

The study of psychological disorders, including their symptoms, etiology (causes), and treatment.