Uncovering the Hidden Simplicity of Similar Triangles

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Discussion Overview

The discussion revolves around a problem related to similar triangles, specifically in the context of a GRE exam question. Participants explore the solution process and the perceived complexity of the problem, examining different approaches to arrive at the answer.

Discussion Character

  • Mathematical reasoning, Homework-related, Debate/contested

Main Points Raised

  • Some participants propose that the problem can be simplified using the concept of similar triangles, suggesting a ratio approach.
  • One participant presents a step-by-step breakdown of the ratios, indicating that the problem appears more complex than it is.
  • Another participant comments on the tendency of some individuals to rely on calculators rather than simplifying the problem manually.
  • A later reply asserts that the final answer is x=160, but does not clarify how this conclusion was reached.

Areas of Agreement / Disagreement

There is no clear consensus on the best approach to the problem, as participants express differing opinions on the methods used and the complexity of the solution.

Contextual Notes

Some assumptions about the problem-solving methods and the accuracy of the calculations are not explicitly stated, leading to potential ambiguity in the discussion.

karush
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This seems to be rather common GRE Exam Question
Which appears to harder that what it is
It looks like a similar triagle solution
$\dfrac{800}{7000}=\dfrac{x}{1400}$
 
Last edited:
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karush said:
This seems to be rather common GRE Exam Question
Which appears to harder that what it is
It looks like a similar triagle solution
$\dfrac{800}{7000}=\dfrac{x}{1400}$

800/7000 = x/1400

It's a little bit of smoke.

80/700 = x/1400

8/70 = x/1400

8/7 = x/140

8/1 = x/20

Look easier?

Anyone whose first move is to produce 112,000 = 700x simply isn't paying attention.
 
"Anyone whose first move is to produce 112,000 = 700x" solves problems like this by immediately plugging numbers into a calculator!​
 
tkhunny said:
800/7000 = x/1400

It's a little bit of smoke.

80/700 = x/1400

8/70 = x/1400

8/7 = x/140

8/1 = x/20

Look easier?

Anyone whose first move is to produce 112,000 = 700x simply isn't paying attention.
actually the answer is
x=160
 

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