Jun 072014
 
Squares, Triangles, and Van-Aubel's Theorem

Problem In the figure, H is the midpoint of side BC of ΔABC. The points I and J are the intersection of the diagonals of square ABDE and square ACGF respectively, that is they are the centers of the square. Prove that IH and HJ are congruent and that angle IHJ is a right angle. [...]

Apr 102014
 
Algebraic Expressions Divisible by 3

Problem If a+2 is divisible by 3, which of the following expressions is/are also divisible by 3? A. 3+2a B. 5a-2 C. 8+7a D. 1+5a Solution When a number is divisible by 3 then it is a multiple of 3. So, if it is given that a+2 is divisible by 3 then a+2 is a [...]

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