Maths Olympiad Prep

Track / Stage 4 / 93 of 340 #353 of 1964

Problem 353

AMC 12 late, AIME early
Geometry Difficulty 4.6 Find the answer

In an isosceles triangle with a perimeter of 30, the base length is yy, and the leg length is xx. The functional relationship between yy and xx is y=y= \qquad .

A number or a short expression. Fractions can be typed as 3/2, and spacing doesn't matter.

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Official solution

1) 302x(152<x<15)30-2 x\left(\frac{15}{2}<x<15\right)

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