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so when looking at a problem like this
again the main important thing that we
want to do is identify what is going to
be our legs and our hypotenuse right and
remember the hypotenuse is always
directly across from your nine to your
angle and the legs create make out of
the two sides that create your 90 degree
angle so therefore I can determine that
this is thirteen squared plus x squared
equals 15 squared right leg squared plus
leg squared equals hypotenuse squared
right for your Pythagorean theorem or a
squared plus B squared equals C squared
blah blah blah so now I need to go and
square these and this kind of goes back
again to knowing these squared numbers
13 times 13 is 169 plus x squared equals
225 all right
31 so that's going to be 56 so now I'll
subtract 169 have x squared is going to
equal that would be 31 so that's 56 now
this question says leave the problem in
radical form so I'm not going to use my
calculator as far as finding a decimal
value I got to find the radical value so
on this one I need to be able to
determine wall what which one of these
then divides into square root of 56
right so we honestly need to start at
just above below 56 is 49 dividing 56
donors no just 36 now 25 now 16 let's do
16 32 48 64 now that doesn't work just 9
think about what 9 times what gives you
56
and that's 54 so 9 times 6 is 54 so does
9 divided into it
no what about for what for were divided
into it we know 4 goes into 14 our 4
goes into 40 then there's 16 left over
to spore going to 16 yes so therefore
this divides into it 14 times so I can
say x squared equals 4 times 14 I'm
sorry let's take the square root on both
sides so can I simplify the square root
of 4 how can I simplify the square root
of 4 is I can rewrite the square of 4s
like rewrite the square root of 4 as 2 I
was just waiting for AJ thank you though
so maybe 2 square root of 14 and that's
how we get our final answer okay so
again our reiterate
