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GRE
GRE Quantitative Reasoning Section

Finding the Length of Line Segment DE in Triangle ABC

Hard Geometry Lines And Angles

Consider a triangle ABC where angle A is a right angle, and points D and E are on sides AB and AC, respectively. Line segment DE is drawn parallel to side BC.

If the length of side AB is 6 units and the length of side AC is 8 units, what is the length of segment DE?

Recall that similar triangles have proportional corresponding sides.

Hint

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