Given a right-angled triangle ABC with a right angle C, angle B is 30 degrees hypotenuse 12

Given a right-angled triangle ABC with a right angle C, angle B is 30 degrees hypotenuse 12 and leg 10 find the perimeter of triangle ABC.

1. AB = 12 units of measurement. BC = 10 units.

2. We calculate the length of the AC leg through one of the trigonometric functions. For example, through the sine ∠В:

Sinus ∠B is the ratio of the AC leg, located opposite the specified angle, to the hypotenuse AB.

AC / AB = sine ∠B = sine 30 ° = 1/2.

AC = AB x 1/2 = 12 x 1/2 = 6 units.

3. Calculate the perimeter (P) of a given triangle ABC:

P = 6 + 12 + 10 = 28 units.

Answer: the perimeter of a given geometric figure is 28 units.