Question

What is the length of ab?

Answer 1

Look at the picture.

We must use the Pythagorean theorem two times.

first time:

`d^2=4^2+6^2\\\\d^2=16+36\\\\d^2=52\to d=√(52)`

second time:

`AB^2=1^2+(√(52))^6\\\\AB^2=1+52\\\\AB^2=53\to AB=√(53)`

Answer: √53