Pythagorean Theorem:

1
http//scidiv.bcc.ctc.edu/math/Pythagoras.html
Pythagorean Theorem
The Pythagorean Theorem says that in any right
triangle, the lengths of the hypotenuse and the
other two sides are related by a simple formula.
http//www.emsl.pnl.gov2080/docs/mathexpl
/pythag.html
In a right triangle, the sum of the squares of
the measures of the legs equals the squares of
the measures of the hypotenuse.
2
So, if you know the lengths of any two sides of a
right triangle, you can use the Pythagorean
Theorem to find the length of the third side
The Pythagorean Theorem is true for all right
triangles. There are many ways, called proofs, to
show that this is true.
3
The distance between two points on the same
quadrant of the coordinate plane involves
the use of the
PITHAGOREAN THEOREM
Example 3 (p.30) Find the distance from A(1,2)
to B(6,14) using the Pythagorean
Theorem.
The distance between any two points with
Coordinates (x1,y1) and (x2,y2) is given by the
formula d (x2-x1)2 (y2-y1)2

• Practice find the distance between H(2,3) and
  K(-3,-1)
• Example 4 (p.31) Find PQ for P(-3,-5) and Q(4,-6)