Competition problem — Geometry — Maths Olympiad Prep

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Geometry Difficulty 2.2 Junior Find the answer

Through a point $P$ inside the $\triangle ABC$ a line is drawn parallel to the base $AB$ , dividing the triangle into two equal areas.
If the altitude to $AB$ has a length of $1$ , then the distance from $P$ to $AB$ is:

Pick one

Solution

$\boxed{\textbf{D}}$

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Source: NuminaMath-1.5, licensed Apache-2.0. Statement and solution reproduced as published; topic and difficulty added by this site.