Subject :IMO Class : Class 9
Right isosceles triangles are constructed on the sides of right angled ∆ABC with sides 3, 4, 5 units, as shown. A capital letter indicates area of each triangle. Which one of the following is true?
A X + Z = Y + W
B W + X = Z
C Y + Z = X
D X + W = 
Ans 1:
Class : Class 9
Option C is correct. Area of Y= 3x3/2=4.5 unit^2. Area of Z= 4x4/2=8 unit^2. Area of X= 5 x 5/2=12.5 unit^2.
Therefore, 4.5+8=12.5. Hence, Y+Z=X holds true.
Ans 2:
Class : Class 9