In triangle ABC, angle C is 90, AC = 22, cosA = 11/17. find AB

Given:
ABC – right triangle;
Angle C = 90 degrees;
AC = 22;
cos A = 11/17;
Find AB.
Decision:
In order to find the hypotenuse AB of the triangle ABC, we use the formula:
cos A = AC / AB.
Hence, AB = AC / cos a;
Substitute the known values into the formula and find the hypotenuse AB.
AB = 22 / (11/17) = 22/1 * 7/11 = 22/11 * 7/1 = 11 * 2/11 * 7 = 1 * 2/11 * 7 = 2 * 7 = 14;
Answer: AB = 14.