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17 September, 11:47

The length of triangle base is 26. A line, which is parallel to the base divides the triangle into two equal area parts. Find the length of the segment between triangle legs.

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  1. 17 September, 12:03
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    13√2

    Step-by-step explanation:

    The parallel segment creates a similar triangle with half the area of the larger one. When the areas of the triangles have ratio 1/2, the linear dimensions of the triangles have a ratio that is the square root of that: √ (1/2) = (√2) / 2. Thus, the segment length is ...

    26 · (√2) / 2 = 13√2
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