Maths Olympiad Prep

Track / Stage 4 / 73 of 340 #333 of 1964

Problem 333

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

(1) 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. Spacing and $ signs are ignored.

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 and solution reproduced as published; topic, difficulty and ordering added by this site.