MHB Find the value of X in terms of Y

  • Thread starter Thread starter mathlearn
  • Start date Start date
  • Tags Tags
    Terms Value
AI Thread Summary
In the discussion, participants focus on finding the value of X in terms of Y using similar triangles. They establish that the ratio of the sides opposite equal angles is consistent, leading to the equation 7/Y = 9/X. This simplifies to 7Y = 9X, confirming the relationship. The final expression derived is X = 7Y/9. Additionally, a note is made about the importance of distinguishing between lowercase and uppercase letters in mathematical notation.
mathlearn
Messages
331
Reaction score
0

Attachments

  • tri_similar.jpg
    tri_similar.jpg
    112.9 KB · Views: 80
  • tri_similar2.jpg
    tri_similar2.jpg
    46.5 KB · Views: 76
Last edited by a moderator:
Mathematics news on Phys.org
mathlearn said:
All I see is the three angles of the triangles equal.
In this case the triangles are similar.
 
Evgeny.Makarov said:
In this case the triangles are similar.

As said above,

In similar triangles, the sides facing the equal angles are always in the same ratio

$\frac{7}{X}$ = $\frac{9}{Y}$

$7Y$ = $9X$

Correct I guess?

Many Thanks :)
 
mathlearn said:
$7Y$ = $9X$
Correct, but the final answer is $x=7y/9$ ("find the value of $x$ in terms of $y$").

Also, in mathematics lowercase and uppercase letters often denote different objects, so they should not be mixed.
 
Sure :) Thank you for the advice :)

Many Thanks :)
 
Suppose ,instead of the usual x,y coordinate system with an I basis vector along the x -axis and a corresponding j basis vector along the y-axis we instead have a different pair of basis vectors ,call them e and f along their respective axes. I have seen that this is an important subject in maths My question is what physical applications does such a model apply to? I am asking here because I have devoted quite a lot of time in the past to understanding convectors and the dual...
Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. In Dirac’s Principles of Quantum Mechanics published in 1930 he introduced a “convenient notation” he referred to as a “delta function” which he treated as a continuum analog to the discrete Kronecker delta. The Kronecker delta is simply the indexed components of the identity operator in matrix algebra Source: https://www.physicsforums.com/insights/what-exactly-is-diracs-delta-function/ by...
Back
Top