Track / Stage 4 / 105 of 340 #365 of 1964

Problem 365

AMC 12 late, AIME early

Geometry Difficulty 4.7 Find the answer

## Task 4

Draw the line segment $\overline{A B}$ of length $11 \mathrm{~cm}$ ! Mark the point $C$ on this segment so that the segment $\overline{A C}$ is $5 \mathrm{~cm}$ shorter than the segment $\overline{A B}$ .

How long is the segment $\overline{A C}$ ?

Your answer

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

Official solution

The line segment $\overline{A C}$ is $6 \mathrm{~cm}$ long.

### 11.7.2 2nd Round 1970, Class 2

Source: NuminaMath-1.5, licensed Apache-2.0. Statement and solution reproduced as published; topic, difficulty and ordering added by this site.