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Mathematics 54 Online
JakFishman:

help ss below

JakFishman:

AZ:

first find what a^2 and b^2 are if a is 3, what is a^2 if b is 10, what is b^2

JakFishman:

a^2 is 6 b^2 is 20?

Florisalreadytaken:

7 minutes oof its a^2 not a*2... a number in exponential form its the number times itself eg. a^2 = a*a

JakFishman:

i dont understand

Florisalreadytaken:

look at the table its stated that \( a_1=3 \) AND \( a_2=7 \) with that information, we can fill up the 4th column, which is asking for \( a^2=? \) so for the first a, we have \( 3^2 \Rightarrow 3\cdot 3 =?? \)

JakFishman:

9

Florisalreadytaken:

great, so we insert the 9 right there (check attached files) do the same with the second a, and both b

Florisalreadytaken:

1 attachment
JakFishman:

100

Florisalreadytaken:

sweet -- now do both bs

JakFishman:

??

Florisalreadytaken:

oh my bad -- i just read the replies so \( a^2=9 \) and \( b^2=100 \) what is \( a^2+b^2=?\)

1 attachment
JakFishman:

109

Florisalreadytaken:

yes we know that \( a^2+b^2=c^2 \) right? so what is \(c^2\) ??

1 attachment
JakFishman:

109

Florisalreadytaken:

correct -- we have to go back to finding c there in the 3rd column. so we know that \( c^2=109 \ \ \ \ \Rightarrow \ \ \ \ c=\sqrt{109} \) \[ \LARGE c=?? \]

Florisalreadytaken:

just find the square roots, and done for the 2 triangles of your own i suggest you to do the classic 3 4 5 triangle, and another random one

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