In our class ms. ward hi students draw a tile at random from the bag of tiles. each style has a shape drawn on it and students must center their art project around the shape they draw. if the bag contains a rectangle, rhombus, regular hexagon, trapezoid and isosceles triangle, what is the probability that a student draws a shape with all sides congruent?

geometry: triangles

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call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584

answer: y=0 if that is what u r looking for