Algebra-2

In the right triangle ABC, angle A is the angle for which we need to find the sine value. Side BC is the side opposite angle A, and side AB is the hypotenuse. According to the definition of sine in a triangle, sin A is equal to the length of the side BC divided by the length of the hypotenuse AB.

 

Using the Pythagorean theorem, the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides. That is:

 

 

Given information states that AC = 3 and AB = 5. Now we can calculate the length of the opposite side BC:

 

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