GH∥IK. Find GK. I need help with this please

In right ∆abc shown below, the midpoint of hypotenuse ac is located at d and segment bd is drawn. if ab = 12 and bc = 16, then explain why bd = 10. hint: consider what you know about the diagonals of a rectangle.

What is the absolute value of the complex number -4-sqrt2i

Look at this pattern ; 1,4,9, number 10000 belongs in this pattern . what’s the place of this number?