area wanted, triangle inscribed in square (2016 Auckland MO J3)
Source:
December 30, 2020
geometryareassquare
Problem Statement
Triangle is inside square shown below so that its vertices each lie on three different sides of the square. It is known that:
The area of square is .
The vertices of the triangle divide three sides of the square up into these ratios:
What is the area of the triangle ? (Note that the sketch is not drawn to scale).
https://cdn.artofproblemsolving.com/attachments/8/0/38e76709373ba02346515f9949ce4507ed4f8f.png