Trig For Triangles Examples

Find the area of a triangle with a 45° angle and adjacent sides measuring 12 in and 9 in.

The area of a triangle is:

It doesn't matter if it’s an acute, obtuse, or right triangle, and we don't need to know the height. As long as both a and b are adjacent to angle C, we are good to go.

Find the area of a triangle with sides measuring 9 and 13 units, with an included angle measuring .

Radians or degrees, we can work with either one. The angle is the same as 30 degrees.

That's 29.25 units². Not a bad number of units. If our angle had been smaller, we would have gotten an even smaller number.

Find the area of a triangle with sides measuring 105 and 210 units with an included angle of 60°.

We've got some big numbers here, but can work with this triangle using our area formula just the same:

Big sides equal a really big triangle.