MHB Find the value of X in terms of Y

  • Thread starter Thread starter mathlearn
  • Start date Start date
  • Tags Tags
    Terms Value
Click For 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: 85
  • tri_similar2.jpg
    tri_similar2.jpg
    46.5 KB · Views: 81
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 :)
 

Thread 'Significant figures for inherently bound values'

I have been insisting to my statistics students that for probabilities, the rule is the number of significant figures is the number of digits past the leading zeros or leading nines. For example to give 4 significant figures for a probability: 0.000001234 and 0.99999991234 are the correct number of decimal places. That way the complementary probability can also be given to the same significant figures ( 0.999998766 and 0.00000008766 respectively). More generally if you have a value that...
View full post »

Similar threads

B Why does the trigonometry of obtuse angles use ref angles?
  • · Replies 10 ·
Replies
10
Views
2K
MHB Can You Find the Angle in This Isosceles Triangle Problem?
  • · Replies 1 ·
Replies
1
Views
1K
I Method for finding a complex series?
  • · Replies 10 ·
Replies
10
Views
2K
MHB Find the value of x square + y square
  • · Replies 2 ·
Replies
2
Views
15K
I Help with area formula using direction cosines
  • · Replies 3 ·
Replies
3
Views
2K
I Finding the inverse tangent of a complex number
  • · Replies 2 ·
Replies
2
Views
3K
MHB Finding minimum value of function with two variable
  • · Replies 7 ·
Replies
7
Views
2K
MHB Is this Trigonometric Expression a Constant Function of x?
  • · Replies 2 ·
Replies
2
Views
1K
MHB Solve for the angles in a triangle
  • · Replies 4 ·
Replies
4
Views
2K
I ##x\lt y \lt z## positive integer numbers and if ##\dfrac 1x+\dfrac 1y+\dfrac 1z=\dfrac 13##
  • · Replies 6 ·
Replies
6
Views
2K