Problem #1:
A right triangle, one leg is 5 meters, one leg is unknown, and the hypotenuse is 11 meters.
Use the Pythagorean Theorem, since this is a right triangle. If a and b are sides and c is the hypotenuse, then c^2 = a^2 + b^2.
Subbing the given side lengths, c^2 = (5 m)^2 + (11 m)^2 = 25 m^2 + 121 m^2, or
146 m^2. Thus, the length of the hypotenuse, c, is √(146 m^2), or 12.08 m, to two decimal places.
Problem #2:
A right triangle, one leg is 8 millimeters, one leg is 8.1 millimeters, and the hypotenuse is unknown. Again, use the Pyth. Thm.:
(8.1 mm)^2 + (8 mm)^2 = c^2 = square of the length of the hypotenuse.
Then c^2 = 129.61 mm^2. This is not a perfect square, so we can ony give an approximate value for the hypo length, c: √(129.61 mm^2) or 11.38 mm.
