Answer:
x = 48
Step-by-step explanation:
Using the geometric mean(altitude) theorem, we can say the altitude of a right triangle is equal to the geometric mean of the two parts it splits the hypotenuse into. In this case, this would mean:
x = [tex]\sqrt{36*64}[/tex]
We can split the radical and solve for x:
x = [tex]\sqrt{36} *\sqrt{64}[/tex]
x = 6 * 8
x = 48
