Maths Olympiad Prep

Track / Stage 4 / 25 of 340 #285 of 1964

Problem 285

AMC 12 late, AIME early
Geometry Difficulty 4.4 Multiple choice

The perimeter of an isosceles triangle is 24 cm24 \mathrm{~cm}, and a median divides the perimeter into two parts in the ratio 5:3. The length of the base of this triangle is ( )cm) \mathrm{cm}.

Pick one

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Official solution

1C\frac{1}{C}

Source: NuminaMath-1.5, licensed Apache-2.0. Statement reproduced verbatim; metadata (topic, difficulty, ordering) added by this project.