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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