1. Triangle Relationships
Math Toolkit-Part 5
Triangle Relationships

2. Pythagorean Theorem Pythagorean Theorem:
Expresses the relationship between the sides of a right triangle.
States that the sum of the squares of both legs of the right triangle is equal to the square of the hypotenuse.
More commonly written as

3. Prove It!

4. Examples
The foot of a ladder is placed 6 feet up a wall. If the top of the ladder
rests 8 feet up on the wall, how long is the ladder? SHOW WORK!
Tommy walks 6 blocks north from school and 8 blocks west. What is the
total straight-line distance from school to his home?

5. For any right triangle, there are six trigonometric ratios.
They include: sine, cosine, tangent, secant, cosecant, cotangent
For sine, cosine, and tangent, you can use the acronym SOH-CAH-TOA to help determine the ratios.

6. Example
Find the six trigonometric ratios for angle A in the figure below.

7. HEY! LOOK!
NOTICE that csc, sec, and cot can be found by flipping the ratio they are
associated with, or you can use the formulas.