Competition problem — Geometry — Maths Olympiad Prep

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Geometry Difficulty 5.1 AIME, harder Find the answer

## Task 5

Determine the distance between points $B$ and $C$ (see diagram).

The points $A$ and $B$ are $22 \mathrm{~mm}$ apart, the points $A$ and $D$ are $100 \mathrm{~mm}$ apart, and the points $C$ and $D$ are $35 \mathrm{~mm}$ apart.

Your answer

A number or a short expression. Spacing and $ signs are ignored.

Solution

The points $B$ and $C$ are $43 \mathrm{~mm}$ apart from each other.

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