Problem 1: find the length of the unknown side of the triangle. a right triangle, one leg is 5 meters, one leg is unknown, and the hypotenuse is 11 meters. the length of the unknown side of the triangle is _ m. (simplify your answer. type an exact answer, using radicals as needed.) tip: a^2+b^2=c^2 problem 2: tip: a^2+b^2=c^2 find the length of the unknown side of each triangle. give the exact length and an approximate length. a right triangle, one leg is 8 millimeters, one leg is 8.1 millimeters, and the hypotenuse is unknown. the exact length of the unknown side is _ mm. (simplify your answer. type an exact answer, using radicals as needed. use integers or decimals for any numbers in the expression.) the approximate length of the unknown side is _ mm. (round to one decimal place as needed.)

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.

step-by-step explanation:

which of the following statements correctly describes the expression below based on its degree and number of terms?

314 - 7x2 + 11