Calculate the length of the diagonal AB

AB =  cm

Step-by-step explanation:

The diagonal of the bottom square is the hypotenuse of two right triangles with legs 5 and 5

So, the length of that diagonal, say x,  of a 45-45-90 triangle where x is the hypotenuse is x =

Now that diagonal is a leg of the right triangle where AB is the hypotenuse and 5 is the length of the other leg.

So,  =   + 25

                                =  50 + 25

                               = 75

Therefore   AB = =