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Hi guys in this particular example we are going to be play Pythagoras theorem in order
to work out the missing pro numeral along here on this right angle triangle. Now first
of all let us take a closer look at this right angle triangle we know it is a right angle
triangle because we have the 90 degrees right there so we have this very long length across
here do you remember what is that called? For those of you who do not remember that
is the hypotenuse long length that are not attach to the right angle and then we have
two other length that are attach to the right angle. Over here we have 12 and over here
we have K so what are the 3 steps? Step no. 1 we write down the Pythagorean Theorem, step
no. 2 we drag and drop or substitute the values we have into the equation and finally the
last step we take square root to both sides and we can come up what K is.
So let us go through the 3 steps. Step no. 1 again we write down the equation alright
let us do that, a squared + b squared = c squared noting this c squared right over here
is the long length called hypotenuse that is the 15 right there so let us substitute
now that is next step so let us take 15 and put it in right over there so that is going
to become 15 squared right there and then we are going to take the b squared from right
over there let us bring it across here that is going to be 12 squared and finally we have
the missing pro numeral we are looking for K aren’t we? So let us put k right over
here so that is going to be K squared. so let us check and point that we substituted
correctly into the equation. So the 15 squared the hypotenuse that is right there that is
the long length confirming yes it is the long length and then we have the 12 squared right
there, there is the length right there and then finally K squared the missing pro numeral
here it is sitting right over there. So now let us expand the squares, that is going to
give K squared + now 12 squared in your calculator or if you remember 12 x 12 is 144 – and
that equals 15 squared and that is going to be 225. Ok let us take away a 144 from both
sides so we can get the K squared by the side or K by itself so we are going to take this
number here 144 bring it over to that side, we are going to take it away, so let us take
away 144 and we do the same on the other side of the equals, take away 144. Ok so this guys
eliminate, ok they are gone so I will cross that out, cross that out and we left on the
right hand side here 225 take away 144 on your calculator will give you 81 so let us
write down here – 81, now let us bring the K squared down here ok so let us drag it down
here so that is K squared = 81, now remember the final step in Pythagorean theorem is to
take the square root of both sides so let us do that—square root here and square root
there, now when we take the square root of K squared it reverts to just being k-- there
it is and then the square root of 81 is the answer to this length right there, what k
is? is 9.
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