Geometric Mean
Pht. Thm
100

Find the geometric mean of 12 and 3

 x=6

100

A triangle's hypotenuse is 10 cm long. Its long side is 8 cm. What is the short side length.

6 cm.

200

45 and 20

x=30

200

If a diagonal of a rectangle is 15 in. and a side is 10 in. what is the other side.

Approximately 11.18 in. 

300

6 and 24

x=12

300
If the diagonal of a window is 30 in. long and a side is 18 inches what is the other side length.

24 in.

400

50  and 10

x=10timessquarerootof5

400

If the length of a jumbrotron is 118 feet and the other side is 67 feet, what is the length between opposite corners (diagonals).

The diagonal is approximately 135.7 feet.