How do i do the pythagorean theream

The Pythagorean Theorem states that: a^2+b^2=c^2
a and b are two of the triangles sides, while c is the hypotenuse (the longest side).

For example: #1 
a^2+17^2=41^2
a^2+289=1681
a^2=1392
sqrt(a^2)=sqrt(1392)
a=4sqrt(87)

The Pythagorean Theorem goes by the formula a^2+b^2=c^2, where a and b are triangle legs (the sides that form a 90-degree angle), and c is the hypotenuse (the longest side on top). Let's do #6 for an example.

#6 gives us side lengths 22 and 47. To find the third length (c/the hypotenuse), square 22 and 47, then add them to get you 2693. We then find the square root of this (because this is c and not c^2) to get an approximate answer of 51.89.

But what happens when you only have the hypotenuse and one side length? Here's what you do (We'll use #5).

You know that a^2+b^2=c^2. You have c (the hypotenuse) and a or b (whichever variable would work unless otherwise specified). Using #5, we see that 42^2+b^2=128^2. Simplifying this, we get that 1764+b^2=16384. This means that (when simplified) b^2=16384-1764, which is 14620. We're not done though! We see that b^2=14620, not b by itself. We can find b by finding the square root of 14620, which is 120.91.

Hope this helps; if you need help, feel free to ask questions!

:)

Ithink you're supposed to multiply 12.50 which is how much he makes per hour and then multiply it by each number then add whats left togrther and there's your answer

Number nine is f(x)= 40x : ) hoped i ya