Ch 8.3 Trignonometry

Parts of a right triangle Blue is the Hypotenuse- The Hypotenuse is the longest side, furthest from the right angle A B C

Parts of a right triangle Adjacent means “next to”. So, green is adjacent to angle B, but orange is adjacent to angle A. A B C Still the hypotenuse

Parts of a right triangle Opposite means “far away from” or “on the other side of the triangle”. Green is opposite of angle A and orange is opposite angle B. A B C Still the hypotenuse

You try… A BC 50

Right triangles are similar! 1.Write similarity statements for all of the triangles shown. 2.Copy the diagram and label all of the lengths and measures of the angles. Finding the side lengths is easy, you can set up the ratios, but what about the angles? We can use trigonometry to find the angles.

Because of all we know about triangle similarity, we can compare the parts of similar triangles and learn about them. If we compare the ratios of the sidelengths of right triangles, we can see patterns form. These patterns can be found in tables of on your calculator.

Soh Cah Toa Since AA~ requires only two angles, right triangles are especially easy to compare.