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Uhh I have trouble with square roots,
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The hypotenuse of a right triangle is 7 inches, and one of the legs is\[\sqrt{13}\] inches. Find the length of the other leg.
\[a ^{2}+b ^{2}=c ^{2}\] where c is the hypotenuse a and b are the legs. So... \[(\sqrt{13}) ^{2} + (b) ^{2}=(7) ^{2}\]
We can simplify this to:\[13+(b) ^{2}=49\]
\[(b) ^{2}=36\]
b=36?
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b^2=36. What's the square root of 36?
6
Right :)
Wait so it's 6? o.m.g wait what
\[(\sqrt{13})^2 + b^2 = 7^2\] \[13 + b^2 = 49\] \[b^2 = 49-13 = 36\] \[b = \sqrt{36}\] \[b = 6\] Yup, it's 6.
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@AloneS do you understand how/why it's 6?
Yea actually now i do. Thanks! :)
You're welcome :)
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