What is the formula for the height of a triangle? Can you provide an example?

The formula for the height of a triangle is:

Height = (2 * Area) / Base

Where Area is the area of the triangle and Base is the length of the base of the triangle.

For example, let's say we have a triangle with a base of 6 units and an area of 12 square units.

Height = (2 * 12) / 6
Height = 24 / 6
Height = 4 units

Therefore, the height of the triangle is 4 units.

The formula for the height of a triangle is:

```
h = a - sin(C)
```

where:

- h = height of the triangle
- a = length of the side opposite the angle C
- C = angle opposite the side with length a

Example:

Consider a triangle with side lengths a = 5, b = 7, and c = 8. The angle opposite side a is C = 30 degrees.

To find the height of the triangle, we can use the formula:

```
h = a - sin(C)
h = 5 - sin(30)
h = 2.5
```

Therefore, the height of the triangle is 2.5 units.