Question

give the formula used to calculate the possible maximum height

Answer 1

for getting max hieght

we use formula

h=ut-1/2at^2

s=v^2-u^2/2a

in parabolic path

h= u^2sin^2thita /2

and during free fall

h=1/2gt^2

hope it helps

Answer 2

$\sqrt{ {hypotenuse}^{2} - {base}^{2} }$

here is your answer