Solve the right triangle shown in the figure. A=45, AC=14km, C=90

C.

B = 45°

BC = 14 km

AB = 14√2 km ≈ 19.80 km

Step-by-step explanation:

If one acute angle (A) of a right triangle is 45°, then the other one is also:

... 180° - 90° - 45° = 45°

The sides opposite these congruent angles are the same length, 14 km in this case, and the hypotenuse is found from the Pythagorean theorem to be √2 times either leg length.

... AB² = AC² + BC²

... AB = √ (AC² + BC²) = (14 km) √ (1² + 1²) = 14√2 km