The Pythagorean Relationship. In words The Pythagorean Relationship states that in a right angle triangle, the square of the hypotenuse is equal to the.

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Presentation transcript:

The Pythagorean Relationship

In words The Pythagorean Relationship states that in a right angle triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Symbolically In other words, if you draw a square on each side of a right angle triangle, the sum of the two smaller squares will equal the largest square. The Pythagorean Relationship can be written symbolically as follows: c 2 = a 2 + b 2

Pictorially

Things to know: Be able to label a right triangle How to draw (and solve) the squares of a right triangle (pictorially) How to solve the squares and find the length symbolically (using the formula) How to describe in words Be able to prove (using the formula) that a triangle is a right angle triangle Word Problems!

Tips…. You will need a calculator….it was on the supply list and you should have one! You will need to know how to find the perimeter of a shape -You add up all the sides

-You need to know the difference between an exact square root and an approximate square root - An exact is: √6 - An approximate is: 2.449

A square corner lot has sides of 50 m. Calculate the distance saved in taking a short-cut across the diagonal.

A ladder 6 m long rests against a wall at a point 5 m from the ground. How far is the foot of the ladder from the wall?