Question

Calculate the length of the diagonal AB

Answer 1

25
EXPLANATION:
No ok

Answer 2

Answer:

AB = $5\sqrt{3}$  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 = $5\sqrt{2}$

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, $x^{2} + 5^{2} = AB^{2}$  =  $(5\sqrt{2} )^{2}$ + 25

                                =  50 + 25

                               = 75

Therefore   AB = $\sqrt{75}$ = $5\sqrt{3}$