In triangle ABC, angle c is 90 °, AB = 8, sin A = 0.25 find BC.

Triangle ABC rectangular with 90 ° right angle.

Since AB = 8 and sin a = 0.25, then we find the side BC.

To calculate the BC leg of the ABC triangle, we use the formula:

sin A = BC / AB;

Let’s multiply the values cross by cross and then we get:

BC = AB * sin a;

Substitute the known values into the formula and calculate the leg of the triangle ABC.

BC = 8 * 0.25 = 8 * 25/100 = 8 * 1/4 = 8/4 = 2;

Answer: BC = 2.