Distance Formula: EQ: What is the distance formula?

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Presentation transcript:

Distance Formula: EQ: What is the distance formula?

Distance Formula:

Find the distance between… 1)M(-2,1) and N(-5,4) 2)G(9,-4) and F (6,-9) 3) Find the perimeter of a triangle with points R(3,4), S(-8,1) and T(1,-2).

A large building is on fire. Fire trucks from two different stations respond to the fire. One station is 1 mi east and 2 mi north of the fire. The other station is 2 mi west and 1 mi south of the fire. How far apart are the two fire stations?

Alternative to Distance Formula: Pythagorean Theorem: a 2 + b 2 = c 2

Examples: 1) Find x. When needed leave as a simplified radical. 2) Find x. When needed leave as a simplified radical.

Use the Pythagorean theorem to find the distance between the following: A (3,4) B (-1,2)C (-3,2) D(4,-1)