Distance Between Points on the Coordinate Plane Using the Pythagorean Theorem

You add a² and b² then take the square root to find the length of side c on a right triangle.

The longest side of a right triangle is called

How would you write the Pythagorean Theorem equation for this right triangle?

Miguel walks to the library 12 blocks north from his home. Then he decides to walk to the park west 9 blocks. What is the shortest distance from Miguel's home to the park?

The Pythagorean Theorem only works on which triangle?

The Pythagorean Theorem describes the relationship between the lengths of the legs and the hypotenuse of a ________ triangle.

Suppose Birmingham, Huntsville, and Gadsden for a right triangle. What is the distance from Huntsville to Gadsden? Round to the nearest tenth.

(a)  

A 24 foot tall building has a 7 foot wide alley next to it. How tall would the ladder be, if it rested at the top of the building and had it's base against the bottom of the building next to it?

(a)  

How far is the ship from the lighthouse?

(a)  

What is the correct set up to find the length of the hypotenuse?