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- anonymous

- SolomonZelman

Ok, you know that in a right triangle with legs a and b, and a hypotenuse c, the following must always be true:
\(\large\displaystyle c^2=a^2+b^2\)
so with a hypotenuse 145 and a leg of 144 you get
145²=144²+b²
145²-144²=b²

- SolomonZelman

But " b² " is not the unknown leg (it is the unknown leg squared).

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- anonymous

I think its A or B.

- SolomonZelman

Good for a start...
You know that the unknown leg (b) is the square root of " 145²-144² " correct?

- SolomonZelman

So is the square root of " 145²-144² " equivalent to 289 or 41761

- SolomonZelman

you know what, lets do this....

- SolomonZelman

40,000 = 200²
and certainly 200 is even less than 41761.
Now 145² is less than 200² and if 200² is less than 41761 then certainly 145² is less than 41761.
And 145² is smaller when you subtract 144² from that, so would it make any sense if 145²-144² was equivalent to 41761 ?

- SolomonZelman

let me revise

- SolomonZelman

40,000 = 200²
and certainly 200² is even less than 41761.
Now 145² is less than 200² and if 200² is less than 41761 then certainly 145² is less than 41761.
And 145² is smaller when you subtract 144² from that, so would it make any sense if 145²-144² was equivalent to 41761 ?

- anonymous

A. :) Can u help me with the next questions

- SolomonZelman

Yes, A is right... will see how it goes, i will try.

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