- #1
Miike012
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Homework Statement
My friend just sent me an answer to a problem he solved... But I am not understanding how d1 = L*x/h2
and
d2=L*x/h1
How is that so?
Solving for d1 & d2: Unveiling the Mystery
- Thread starter Miike012
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- Mystery
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Homework Help Overview
The discussion revolves around understanding the derivation of two equations involving variables d1 and d2, which are related to similar triangles in a geometric context. The original poster expresses confusion regarding the relationships d1 = L*x/h2 and d2 = L*x/h1.
Discussion Character
- Conceptual clarification, Assumption checking
Approaches and Questions Raised
- The original poster seeks clarification on the derivation of the equations provided by a friend, questioning how the relationships between the variables are established. Some participants discuss the similarity of triangles as a basis for the equations.
Discussion Status
Participants are exploring the reasoning behind the equations, with one providing an explanation related to the similarity of triangles. There is an acknowledgment of the clarity in the friend's explanation, but the original poster still seeks a deeper understanding.
Contextual Notes
The original poster's understanding is hindered by a lack of visual context, as indicated by a post mentioning a missing picture that is intended to clarify the problem.
My friend just sent me an answer to a problem he solved... But I am not understanding how d1 = L*x/h2
and
d2=L*x/h1
How is that so?
- #2
Mark44
Mentor
- 38,110
- 10,674
Miike012 said:
What was the problem?
- #3
- #4
Mark44
Mentor
- 38,110
- 10,674
Your friend laid out his/her explanation very clearly and neatly. For the first equation (solved for d1) the two triangles listed are similar, so the ratios of corresponding sides are equal. Triangles ACF and ADE are similar, so x/h2 = d1/L. Solve for d1 by multiplying both sides by L.
It's almost exactly the same for the other equation.
It's almost exactly the same for the other equation.
- #5
Miike012
- 1,009
- 0
Yes he has always been very detailed and clear in his explanations.. He is pretty good.
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