Maths Olympiad Prep

Track / Stage 4 / 201 of 340 #461 of 1964

Problem 461

AMC 12 late, AIME early
Geometry Difficulty 4.8 Find the answer

Ex. 2. Find the radius of the circle inscribed in a triangle with sides 9,10,119,10,11.

将上面的文本翻译成英文,请保留源文本的换行和格式,直接输出翻译结果。

(Note: The note at the end is not part of the translation but is provided to clarify the instruction.)

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

Official solution

Ex. 2. 222 \sqrt{2}.

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