olymmath

Putnam 1986 B1

  • Session B

Inscribe a rectangle of base bb and height hh in a circle of radius one, and inscribe an isosceles triangle in the region of the circle cut off by one base of the rectangle (with that side as the base of the triangle). For what value of hh do the rectangle and triangle have the same area?

Curated text Kedlaya Putnam archive. Quoted with source.

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

Locator putnam/1986/b1 · Tag H521KX4ZPV · Edit this page on GitHub · Keys: j next, k previous