The Massachusetts Institute of Technology (MIT) is one of the top ranked universities in the world. This question appeared on its admissions exam nearly 150 years ago. "The perpendicular dropped from the vertex of the right angle upon the hypotenuse divides it into two segments of 9 and 16 feet respectively. Find the lengths of the perpendicular, and the two legs of the triangle." The video presents a solution.
Blog post: http://wp.me/p6aMk-4KU
MIT Questions: https://libraries.mit.edu/archives/exhibits/exam/geometry.html
MIT Answers: https://libraries.mit.edu/archives/exhibits/exam/geometry-answers.html
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