Trig work problem (am I correct?)

[Miike012]

Trig work problem... (am I correct?)

Homework Statement

If we call the height @ which the supports cross ,x, express this height as an equation in terms of H1 and H2 Only... Use similar triangle...

Are my proportion correct?
x/H1 = (L1-L)/L1
x/H2 = (L)/L1 = (L1-L)/L1

Because Where the two lines intersect you can see that the two angles are congruent (If I did it correctly)
Thus L1-L = L


And Are my congruent angles in my picture correct?

Homework Equations

The Attempt at a Solution

 

[tiny-tim]

Because Where the two lines intersect you can see that the two angles are congruent (If I did it correctly)
Thus L1-L = L

(try using the X₂ icon just above the Reply box )

No, that's obviously not correct … you're saying L is always half of L₁, which it isn't.

Are my proportion correct?
x/H1 = (L1-L)/L1
x/H2 = (L)/L1 = (L1-L)/L1

Correct , but it'll be easier if you rewrite it …

x/H₁ = 1 - L/L₁
x/H₂ = L/L₁ …

carry on from there ​

 

[Miike012]

(try using the X₂ icon just above the Reply box )

No, that's obviously not correct … you're saying L is always half of L₁, which it isn't. Correct , but it'll be easier if you rewrite it …

x/H₁ = 1 - L/L₁
x/H₂ = L/L₁ …

carry on from there ​

The segment starting from the right starting @ H2 going towards line x has to be the same length as the line segment L1 to x... because isn't line x is a angle bisector...

Thus segment L1-L must equal segment L...?

 

[tiny-tim]

… isn't line x is a angle bisector...

Noooo …

draw H₁ very small, and you can see that they're not equal!

 

[Miike012]

I see what you are saying but I guess I am confused.. I am just learning geometry so maybe you can help my understand because it states that if an ray bisects an angle.. the ray creates two congruent angles... and a point on the angle bisector is equal distance from the sides of the angle...

 

[tiny-tim]

Yes, but nothing is bisecting anything here.

You've drawn four angles as equal, but they aren't, there's one equal pair, and another equal pair, but the two pairs aren't equal.

 

[Miike012]

So my angles that I say are equal are incorrect?
If you can.. can u show me which ones are equal?

 

[tiny-tim]

If you can.. can u show me which ones are equal?

Top left and middle right.

Top right and middle left.