Square Inscribed in an Isosceles Right Triangle

(Use the slider to enlarge/shrink the square. The value of n gives the percent distance D has traveled on the hypotenuse between M and N.) One side of the square sits on the hypotenuse of the triangle, and a third vertex is on the base of the triangle. When the fourth vertex lands on the vertical side of the triangle, then the square is said to be “inscribed in the triangle.” 1- What is the area of the inscribed square? 2- Can you predict the area for different sized triangles? - idea from George Polya

 

Bill Lombard

 
Resource Type
Activity
Tags
inscribed  polya  square 
Target Group (Age)
11 – 19+
Language
English (United States)
 
 
 
© 2024 International GeoGebra Institute