In triangle ABC, angle C = 90 tg angle A = 12/35 AC = 35, find BC.

In triangle ABC, we find the leg BC if the following values of the rectangle are known:

Angle C = 90 °;
tg A = 12/35;
AC = 35.
Decision:

The ratio of the opposite leg in relation to the angle a to the ratio of the adjacent leg is equal to the tangent of the angle a.

We get the formula in the form:

tg A = BC / AC;

From here we will express what the second leg of the BC is equal to.

BC = AC * tg A;

Substitute the known values and calculate its value.

We get:

BC = 35 * 12/35 = 35/35 * 12 = 1/1 * 12 = 12;

As a result, we got that the leg of the rectangle is BC = 12.

Answer: BC = 12.