Uncovering the Hidden Simplicity of Similar Triangles

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In summary, the conversation discusses a common GRE Exam question about a similar triangle solution. The equation 800/7000 = x/1400 is mentioned and it is suggested that the problem may seem harder than it actually is. It is also noted that some people may immediately plug numbers into a calculator to solve it, but this may not be the most efficient approach. The correct answer is x=160.
  • #1
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
$\dfrac{800}{7000}=\dfrac{x}{1400}$
 
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  • #2
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.
 
  • #3
"Anyone whose first move is to produce 112,000 = 700x" solves problems like this by immediately plugging numbers into a calculator!​
 
  • #4
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
 

FAQ: Uncovering the Hidden Simplicity of Similar Triangles

1. What is the GRE and why is it important for scientists?

The GRE (Graduate Record Examination) is a standardized test that is often required for admission into graduate programs in various fields, including science. It measures verbal reasoning, quantitative reasoning, and analytical writing skills, and is used by universities to assess a candidate's potential for success in graduate-level studies.

2. What are "ge.2 similar triangles" and why are they relevant to science?

"Ge.2 similar triangles" refers to the concept of geometric similarity, where two triangles have the same shape but different sizes. This concept is relevant to science, particularly in fields such as physics and engineering, where understanding the relationship between similar shapes and their properties is important for solving problems and making predictions.

3. How can the concept of similar triangles be applied in scientific research?

The concept of similar triangles can be applied in various ways in scientific research. For example, in physics, it can be used to analyze the forces acting on an object and predict its motion. In biology, it can be used to study the relationship between different organisms and their structures. In chemistry, it can be used to understand the molecular structure of compounds.

4. Are there any real-life examples of "ge.2 similar triangles" in nature?

Yes, there are many real-life examples of similar triangles in nature. One common example is the relationship between a tree and its shadow. The shape of the shadow is similar to the shape of the tree, but it is smaller in size. Another example is the similarity between different species of birds, where their body structures are similar but their sizes may vary.

5. How can understanding "ge.2 similar triangles" benefit scientists in their work?

Understanding the concept of similar triangles can benefit scientists in various ways. It can help them make accurate measurements and predictions, analyze complex systems, and develop new theories and models. Additionally, it can also aid in communication and collaboration with other scientists, as it provides a common language and framework for understanding geometric relationships.

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