In triangle ABC, angle C is 90 degrees, BC = 8 sin A = 0.4 find AB.

In triangle abc, angle c is 90 °, sun = 8 and sin A = 0.4.

Let’s find av.

If the angle c is 90 °, then ab is the hypotenuse, and sun and ac are legs.

In order to find the hypotenuse ab of the triangle abc, we use the formula:

sin A = Sun / Av

Hence, ab = bc / sin a;

Substitute the known values into the formula and calculate the hypotenuse ab.

ab = 8 / 0.4 = 8 / (4/10) = 8 * 10/4 = 8 * 5/2 = 8/2 * 5 = 4 * 5 = 20;

As a result, we got that the hypotenuse a of triangle abc is equal to 8.

Answer: ab = 8.