Posted by Candice on Tuesday, June 9, 2009 at 6:28am.
Let ABCD be a square with side legnth 7cm. Another square KLMN is inscribed into ABCD such that its vertices lie on the sides of ABCD.
Find the lenghts of parts of ABCD sides which are divided by the vertices of KLMN. If [the area of KLMN]: [area of ABCD] = 25:49

maths  Reiny, Tuesday, June 9, 2009 at 9:11am
you will have 4 congruent triangles.
each will have legs of x and 7x and a hypotenuse of 5
thus x^2 + (7x)^2 = 25
solve as a quadratic, it factors nicely, and you should have sides of 3 and 4 
maths  Bob, Friday, June 19, 2009 at 3:59am
How would you know that the hypotenuse is length 5? Does it have something to do with the ratio?