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Bunuel
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The triangle has two sides with equal length. Their opposite angles must therefore also be of opposite length. We can conclude that this is an isosceles triangle.
The shortest way is a straight line from A to the line BC which is the height of the triangle. We call it D. D splits the triangle in two identical triangle, creating a 90° angle. This lets us apply the Pythagoras Theorem a^2 + b^2 = c^2.
In this case this would be a^2 + 80^2 = 100^2. As a result, solving for a, we get a = 60. The answer is B

HI,
How can we say that a perpendicular dropped from the vertex A would divide the triangle symmetrically? I feel like I know this to be true, but would like to pinpoint a proof or rule for this. Thanks.
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