Triangles: Recycled Right Triangles - Overview
What is the distance from Town A to Town C?
>(1) Town A is 30 kilometers due north of Town B.
> (2) Town C is 40 kilometers due east of Town B.
Correct.
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Statement 1 provides data concerning towns A and B only, therefore **Stat.(1) → IS → BCE**
Statement 2 provides data concerning town B and C only, therefore by itself **Stat.(2) → IS → CE**
You must now combine the statements to be able to retrieve the distance from A to C. From the statements combined, it is possible to construct a right triangle with towns A, B, and C, and use the $$3{:}4{:}5$$ recycled ratio (or the Pythagorean theorem) to figure out the hypotenuse $$AC$$. No need to actually do so: **Stat.(1+2) → S → C**
Incorrect.
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Statement 1 refers only to towns A and B. But what about town C?
Incorrect.
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Statement 2 refers only to towns B and C. But what about town A?
Incorrect.
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Statement 1 refers only to towns A and B. But what about town C?
Statement 2 refers only to towns B and C. But what about town A?
Incorrect.
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Try combining the information in both statements to se if you have sufficient data to answer the question.
Statement 1 ALONE is sufficient, but statement 2 alone is not sufficient to answer the question asked.
Statement 2 ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.
BOTH statements 1 and 2 TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.
EACH statement ALONE is sufficient to answer the question asked.
Statements 1 and 2 TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.