The Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the two legs. It is written as A2 + B2 = C2, where C is the hypotenuse and A and B are the legs. The distance formula calculates the distance between two points in coordinates by taking the difference of the x-coordinates squared plus the difference of the y-coordinates squared, then finding the square root of the total. It is written as √(x2 - x1)2 + (y2 - y1)2. Both the Pythagorean theorem and distance formula are demonstrated through example problems to show how to calculate unknown sides or

1. Pythagorean Theorem and Distance Formula By: Andre Street

2. Pythagorean Theorem Pythagorean Theorem is A 2 +B 2 = C 2 The variables stand for legs and hypotenuse. We use a right triangle for the theorem.

3. Example problem A 2 +B 2 =C 2 10 2 +12 2 =x 2 100+144=244 Find the square root of 144 X will equal 15.6 10 12 x

4. Distance Formula Distance formula is written in coordinates. 1 st you label the points x1, y1,x2 y2. 2 nd you put them in the distance formula. 3 rd you do the math

5. Example problem (1, 4) 2 (10, 16) 2 10-1 + 16-4 9 2 + 12 2 81+144= 255 Square 225 The answer will be 15.