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The unit of area "one square meter" or "one square foot" is DEFINED as the area of a square with sides of length 1 meter or 1 foot. This works for any unit of distance measurement. So we start with this definition. It follows that a square with sides of length n when n is an integer has area n2 square units because it can be divided into n*n= n2 small squares one unit on a side. For the area of a square with sides of fractional length, we can use a proof that calls upon similar polygons. This proves the area exists, it does NOT prove it is unique. To prove that, assume it is not uniqe and arrive at a contradiction.
What else can I help you with?
Which term best describes a proof in which you assume the opposite of what you want to prove?
The term that best describes a proof in which you assume the opposite of what you want to prove is 'indirect proof'.
What do you prove with a geometric proof?
postulates
Which part of a 2-column proof is the conclusion of the conjecture?
Which part of a 2-column proof is the hypothesis of the conjecture? GIVEN
To begin an indirect proof you assume the opposite of what you intend to prove is true.?
Yes. It also called proof by "reduction ad absurdum".
To begin an indirect proof you assume the opposite of what you intend to prove is true?
false
Proof to find the area of a square?
The unit of area "one square meter" or "one square foot" is DEFINED as the area of a square with sides of length 1 meter or 1 foot. This works for any unit of distance measurement. So we start with this definition. It follows that a square with sides of length n when n is an integer has area n2 square units because it can be divided into n*n= n2 small squares one unit on a side. For the area of a square with sides of fractional length, we can use a proof that calls upon similar polygons. This proves the area exists, it does NOT prove it is unique. To prove that, assume it is not uniqe and arrive at a contradiction.
What is the difference between proof and prove?
proof is a physical truth which noone needs to prove it otherwise. prove is the action taken to have proof.
Is the square root of a 143 a irrational number?
Yes. The square root of a positive integer can ONLY be either:* An integer (in this case, it isn't), OR * An irrational number. The proof is basically the same as the proof used in high school algebra, to prove that the square root of 2 is irrational.
Which term best describes a proof in which you assume the opposite of what you want to prove?
The term that best describes a proof in which you assume the opposite of what you want to prove is 'indirect proof'.
Which term best describes a proof in which you assume the the opposite of what you want to prove?
The term that best describes a proof in which you assume the opposite of what you want to prove is 'indirect proof'.
What is the abstract noun of prove?
The abstract noun of "prove" is "proof." It refers to the act of establishing the truth or validity of something.
What do you prove with a geometric proof?
postulates
Which of these do you prove with a geometric proof?
postulates
Which term best describes a proof in which you assume the opposite of what you what to prove?
Proof in which one assumes the opposite of what you have to prove is indirect proof. In indirect proof a person can draw a conclusion from assuming the opposite is true and then find a conclusion.
What is the verb of the word proof?
Prove (verb). A prosecutor has to prove the defendant committed a crime. He presents the proof to the jury in order to prove his case.Another, job-specific verb form of proof is in my industry, journalism, where we will say "Would you proof this page?" In this case proof is a shortened version of the verb proofread. This probably is not in Webster's.
What is an abstract noun for prove?
proof
What is future tense of proof?
"Proof" is a noun and so doesn't have any tenses. Only verbs have tenses.The future tense of the verb prove is will prove.
