Pythagorean Theorem

The Pythagorean Theorem is a² - b² = c².

The legs of a right triangle are the SHORTEST sides of the right triangle.

The hypotenuse of a right triangle is ACROSS from the right angle.

A 3-4-5 triangle is a special right triangle called a

(a)  

Find the missing side x.

Find the missing side x and leave in simplest radical form. (*Hint: Use the fact that 16*7=112)

Simplify the radical $$\sqrt[]{24}$$

A 13 m long ladder is leaned against a 12 m tall wall. How far away is the base of the ladder from the wall?

Sketch an example of a Pythagorean Triple that is NOT a 3-4-5 or 5-12-13 triangle and label the legs and hypotenuse of your triangle.

The diagonal of a rectangle is 25 inches long. The width of the rectangle is 15 inches long. What is the length of the rectangle?