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

europa2433

europa2433

step-by-step explanation: