olymmath

HMMT November 2023 U25

  • Guts
  • Answer

A right triangle and a circle are drawn such that the circle is tangent to the legs of the right triangle. The circle cuts the hypotenuse into three segments of lengths 1,24 , and 3 , and the segment of length 24 is a chord of the circle. Compute the area of the triangle.

Dataset text NuminaMath olympiads. Quoted with source.

Show the answer

192

Solutions

No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.

Add a solution

Similar problems

These problems have the most words in common with this statement.

Locator hmnt/2023/u25 · Tag Z7EBBSDB4Q · Edit this page on GitHub · Keys: j next, k previous