Question

When an altitude is drawn to the hypotenuse of a right triangle, the lengths of the segments of the hypotenuse are 9 and 36. What is the length of the altitude?
Answer
3
6
18
45

Answer 1

@ParthKohli , @AccessDenied please try and help

Answer 2

18
do you want to know why?

Answer 3

yes please

Answer 4

now you can see the right triangle, and the numbers are the length of the lines, suppose the altitude's length is 'x',then
9/x=x/36
\[x ^{2}=36\times9\]
x=18