## SAT Math Tutorial

*Pythagorean Theorem*

#### Intro

the pythagorean thoerem states that the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. The theorem can be written as an equation relating the lengths of the sides a, b and c, often called the “Pythagorean equation”:

A^2 + B^2 = C^2

#### Sample Problem

A right-angle triangle has sides of 5 and 3 meters. find the length of the side opposite to the right angle (i.e. find the length of the hypotenuse).

#### Solution

if side C is the hypotenuse, then the two other side of the right angle triangle can be said to be A and B. Therefore:

A^2 + B^2 = C^2

we know A=3 , B=5 and C=?

thus

3^2 + 5^2 = C^2

9+25 = C^2

(9+25)^ 0.5 = C

5.83 = C

the hypotenuse has a length of 5.83 meters

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