Asked by Emma

Paul sketches a right triangle with legs of length a and b and a hypotenuse of length h. He writes an equation that relates lengths a, b, and h. Then he writes an expression for the length of the hypotenuse. Which equation does he write?


√a^2 - b^2

√a+b

√a-b

√a^2 + b^2

Answers

Answered by Ms. Sue
And your answer is?

Answered by Reiny
none of them, unless you meant to type

√(a^2 + b^2)
Answered by Emma
that's what I meant on the last one, is it right?
Answered by Ms. Sue
Does the answer choice have the parentheses?
Answered by Emma
No, but I think it is probably supposed to.
Answered by Emma
Is there a difference between √a^2 + b^2 and √ (a^2 + b^2)
Answered by oobleck
in your text, probably not, since the radical bar extends over the whole expression. Since we can't show that online, it's always best to use the parentheses. Otherwise, the order of operations demands that it be parsed as

(√a^2) + b^2

because powers are done before addition.
Answered by Emma
ok thank you very much
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