Square ABCD, of side length 26, is centered at O. With D as center, draw another square EFGH with side length 22, none of its sides parallel to those of ABCD, so that OE is kept perpendicular to DA. Find the area of the square ABCD that is not inside the square EFGH.
Thursday, April 25, 2013
Tuesday, April 23, 2013
Puzzle 45 - Similar Triangles
Let A is the set of all triangles in a plane. Define a function 
as 
implies that triangle 
is similar to 
with the dilation constant or scale factor ‘a’. Find all the possible triangles and such that
a. Lengths of the sides of and are integers
b. The perimeter and area of are same.
as implies that triangle is similar to with the dilation constant or scale factor ‘a’. Find all the possible triangles and such thata. Lengths of the sides of
and are integersb. The perimeter and area of
are same.Monday, April 22, 2013
Puzzle 44
W(a, b) is the centre of the circle. TE is a tangent to the circle at E, which lies on the y-axis. The circle touches the x-axis at D. The equation of TE is
. Calculate the values of a and b.
. Calculate the values of a and b.
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