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So we have CD as the diameter the base
In this case this is the diameter so lets label that point D
What is the length of AD
So that length. If AC and CD are equal
and both of them were equal to you root 2.
Well since this is a cylinder we know that the height its perpendicular to the diameter
now since the height is perpendicular to the base so what we really have here is
a triangle. More specifically we have an isosceles right triangle.
And these are 45 and 45 degrees.
Well this one of the special right triangle that you need to know.
The ratio of the sides of 45 45 90 right rectangle
is S, S and S root 2. In this case
are S value is equal to you root 2.
So our S root 2 value if the plugin
S is equal to root 2 is equal to
root two times root 2 which is just equal to 2.
so you would grid in the number two
which final answer.