The Answer for 'A Math Question for You'

 So, this is the question we uploaded. The easiest way to do this using the Pythagorean theorem. We know that 'a' squared + 'b' squared = 'c' squared. 

    So lets start with the blue triangle. The question said that it is a right-angled triangle. Therefore, the easiest way to find the hypotenuse is to find the opposite side to the right angle. It is labelled as 5cm. The blues square is having 3cm in its four sides. Therefore the the side of the blue triangle which is connected to the blue square is 3cm. Now, the hypotenuse of the blue triangle is 5cm and one side is 3cm. To find the other side, we have to go with the Pythagorean theorem. 


'c' squared=  5x5
                 = 25cm

'b' squared= 3x3
                 = 9cm

'a' squared = 'c' squared - 'b' squared
thus, 'a' squared = 16cm

Now, let's find the square root of 16.
It is 4.

'a' = 4cm

    Now we have found the other side of the triangle which connects with the yellow square. Thus, the side of the yellow square is 4cm. So, lets find the hypotenuse of the ash triangle. It's one side is 4cm and another side is 3cm. We can apply the Pythagorean theorem because the ash triangle is also a right angled one. The blue triangle is 90 degrees and it gives a vertically opposite angle to the ash triangle. Thus, ash triangle is also 90 degrees. The opposite side of right angled of the ash triangle is it's hypotenuse. After all its hypotenuse is 5cm after using the Pythagorean theorem. You can figure it out. The hypotenuse connects with the red square. Thus, the side of the square is 5cm.

The answer for the question asked by the tricky math question  is 5cm.


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