SOLUTION: If a proof says: "Given: Triangle CDF is an isosceles triangle whose shortest side is line segment FD." Is that the same as perpendicular?

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Question 428152: If a proof says:
"Given: Triangle CDF is an isosceles triangle whose shortest side is line segment FD."
Is that the same as perpendicular?

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


No.

An isosceles triangle has two sides of equal measure. Hence, the third side is either longer than each of the two equal sides or shorter than each of the two equal sides.

In order for FD to be the shortest side, the triangle must represent the latter condition and FD is the one unequal side. You can also deduce that segments CD and CF are congruent.

John

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