Solving right triangles

To **solve** a triangle is equivalent to find unknown parts in terms of known parts.

We can use the Pythagorean theorem and properties of sines, cosines, and tangents to solve the triangle.

**Solving right triangles when we know one side and one angle.**

- Use a sine, a cosine or a tangent to find another side (whether you use a sine, cosine, or tangent depends on which side and angle you know).
- The Pythagorean theorem will give us the unknown side.
- Remember that the sum of the three angles equals 180º to find the third missing angle.

Solve the triangle showed:

1. b=8 and cos30º=8/c, then c=8/cos30º ; c= 9'24.

2. Using Pythagorean theorem
a=4'62.

3. A=30º and C=90º, then B=180º-90º-30º ; B=60º.

The sides are 9'24, 8, 4'24 and the angles are 30º, 60º y 90º.