<span>ind the square root of c2.</span><span> Use the square root function on your calculator (or your memory of the multiplication table) to find the square root of c</span>2. The answer is the length of your hypotenuse!<span>In our example, <span>c2 = 25</span>. The square root of 25 is 5 (5 x 5 = 25, so Sqrt(25) = 5). That means c = 5, the length of our hypotenuse!</span> The Pythagorean Theorem describes the relationship between the sides of a right triangle.<span> It states that for any right triangle with sides of length a and b, and hypotenuse of length c, </span><span>a2 + b2 = c2
</span>Make sure that your triangle is a right triangle.<span> The Pythagorean Theorem only works on right triangles, and by definition only right triangles can have a hypotenuse. If your triangle contains one angle that is exactly 90 degrees, it is a right triangle and you can proceed.</span><span>Right angles are often notated in textbooks and on tests with a small square in the corner of the angle. This special mark means "90 degrees." </span><span>
</span>Assign variables a, b, and c to the sides of your triangle.<span> The variable "c" will always be assigned to the hypotenuse, or longest side. Choose one of the other sides to be </span>a,<span> and call the other side </span>b<span> (it doesn't matter which is which; the math will turn out the same). Then copy the lengths of a and b into the formula, according to the following example:</span><span>If your triangle has sides of 3 and 4, and you have assigned letters to those sides such that a = 3 and b = 4, then you should write your equation out as: <span>32 + 42 = c2</span>. </span> Find the squares of a and b.<span> To find the square of a number, you simply multiply the number by itself, so </span><span>a2 = a x a</span>. Find the squares of both a and b, and write them into your formula.<span><span>If a = 3, a2 = 3 x 3, or 9. If b = 4, then b2 = 4 x 4, or 16.</span><span>When you plug those values into your equation, it should now look like this: <span>9 + 16 = c2</span>. </span></span>
<span>Add together the values of <span>a2</span> and <span>b2</span>.</span><span> Enter this into your equation, and this will give you the value for c</span>2. There is only one step left to go, and you will have that hypotenuse solved!<span>In our example, 9 + 16 = 25, so you should write down <span>25 = c2</span>.
The conditional probability notation of two events A and B can be written as either P(A|B) or P(B|A).
The '|' sign is read as 'given'. So, P(A|B) is read as the probability of event A given event B which implies that it is the probability that event A will occur given that event B has already occurred.
In the question,
Event R = Person lives in the city of Raleigh
Event O = Person is over 50 years old
The statement says, 'given that the person lives in Raleigh' which means that event R has already occurred and we need to find the probability of event O (the randomly chosen person is over 50 years old).
Hence, this statement can be given in conditional probability notation as
