Assuming a right triange has angle A,B,C. The Sin(A)=0.5, its hypotenuse is 1. What's the perimeter of the right triangle?

Question

The right triangle has three angles : A, B, C.

The angle C=90 degrees

The angle A and angle B are complimentary angles.

The angle A = 30 degrees.

Answer 1

It's important to remember some properties of a special right triangle. For example, a right triangle with degree 30, 60 and 90 is a special right triangle because sin(30)=0.5, therefore, the corresponding side's length of angle 30 is one half of the hypotenuse, now using pythagoream theory, the corresponding side's length of the other angle 60 is sqrt(1-0.5²) = √3/2. So the peremeter of the triangle is 1+0.5+√3/2.