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Geometry Level pending

Given the blue part of the following pentagon is made from cutting one of the rectangle's edge and every side of the hexagon and rectangle are positive integer. If 17, 21, 31 and 13 are four out of five blue hexagon's side length. Find the area of yellow triangle.


The answer is 60.

Porames Vattanaprasan by Porames Vattanaprasan , 21, Thailand

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1 solution

Michael Mendrin
Sep 25, 2015

(15,8,17) is a Pythagorean primitive

2 Helpful 0 Interesting 0 Brilliant 0 Confused

When is a hexagon not a hexagon? When it's a pentagon. :) A follow-up question ... If we were to cut two corners in order to truly have a hexagon, and we were given that four of the side lengths were 17 , 21 , 31 17, 21, 31 and 13 , 13, could we meet the integer conditions, and if so, could we meet them uniquely?

Brian Charlesworth - 5 years, 8 months ago

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