Calculating the measurements of the bridge

The height of the bridge is 45 feet (FT and FT', "a"). The span of the bridge is 100 feet (TM and MT', or FO and OF', are each 50 feet long, "b"). The length of the OT hypotenuse (or OT') is .

Calculate what OT or OT' would have been if the height and span of the bridge had been different; there were hesitations as to these dimensions, and in the earlier designs, the span was 90 feet or 120 feet.

Imagine new values for a and b and write them in the boxes, then calculate their squares and the sum of their squares.

= = =

OT=OT'=. Write the result you have found for in the following box, click on the "SquareRoot" button, and the result for OT will appear in the second box: the software will calculate the square root.