Answer:
[tex]h=7\sqrt{11}\ units[/tex]
Step-by-step explanation:
The altitude to the hypotenuse of a right tringle is the geometric mean of the two segments that it divides the hypotenuse into.
1st segment = 77 units
2nd segment = 7 units
Altitude = h units
So,
[tex]h^2=77\cdot 7\\ \\h^2 =7\cdot 11\cdot 7\\ \\h=\sqrt{7\cdot 11\cdot 7}=7\sqrt{11}[/tex]
