Given: right-angled triangle ABC. C = 90 degrees. AC = 5.6 tg A = 24/7 find AB

We know one leg and the tangent of the adjacent angle:
AC = 5.6;
tg A = 24/7.
Let’s calculate what CB is equal to – the second leg of the triangle. By definition, the tangent is equal to the ratio of the legs:
tg A = CB / AC;
CB = AC * tg A = 5.6 * 24/7 = 19.2 cm.

Find the length of the hypotenuse AB using the Pythagorean theorem:
AB² = CB² + AC² = 19.2² + 5.6² = 368.64 + 31.36 = 400.
AB = √400 = 20 cm.

Answer: Side AB is the hypotenuse of the triangle and is 20 centimeters long.