In triangle ABC, angle C is 90 AB = 3. COS A = 2√2 / 3. Find aircraft.

1. We calculate the length of the leg AC through the cosine ∠A.

2. Cosine ∠A is the quotient of dividing the length of the AC leg, which is one of the sides of this angle, that is, adjacent to it, by the length of the hypotenuse AB:

Cosine ∠A = AC: AB = 2√2 / 3.

AC = AB x 2√2 / 3 = 3 x 2√2 / 3 = 2√2 units.

3. ВС = √АВ² – АС² (by the Pythagorean theorem).

BC = √3² – (2√2) ² = √9 – 8 = 1 unit.

Answer: the length of the BC leg is 1 unit.