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jmc

geometry junior

Problem

Triangle has sides of length 5, 12 and 13 units, and triangle has sides of length 8, 15 and 17 units. What is the ratio of the area of triangle to the area of triangle ? Express your answer as a common fraction.
Solution
Triangles and are both right, since their sides form Pythagorean triples. It follows that the desired ratio is .
Final answer
\dfrac{1}{2}