Geometry Homework Help!

Prove:An altitude of an acute scalene triangle cannot bisect the angle from whose vertex it is drawn.

There was no image given. This is an indirect proof. You would know what this is if you have done geometry.
You can use this setup.

__________Statements__________l______________Reasons_____________
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The triangle is scalene, not isosceles. - Given
In a Scalene triangle no angles or sides are the same. - Def scalene
An Altitude is always perpendicular to the base. - Def Altitude
A line drawn from a vertex that bisects the angle of the two sides can not be perpendicular because... uhrm...

My math deals with physical objects and im used to assigning number to stuff.

ok, lets take a triangle, knows Scalene.

Vertices A, B, and C
^Hah firefawx doesn't have this word in its dictionary.

It Is given that thse three angles can not be equal

A != B
B != C
C != A
Given

Construct a line from Vertex B Perpendicular to line AC, name the new vertex D
Angle ADB = Angle CDB = 90 Degrees
- Constructed

Now,
(Im implying the angle symbol here)

The two angles created by The drawn altitude
ABD = 180 - (ADB + BAC)
CBD = 180 - (CDB + BCA)

Now, we know that ADB and CDB are both equal to 90 degrees
So, we can subtract them.

ABD = 90 - BAC
CBD = 90 - BCA

So, since we are given (Scalene) that BAC != BCA
90 - BAC != 90 - BCA
For the altitude to have "Bisected" the angle the two created angles must be equal, but since (as I just showed) While BAC != BCA ABD CAN NOT EQUAL CBD

So, there's an algebratic proof that the two created angles can not be equal. (Thus they cant bisect)


Ok here's all of my gobblygook removed

Code:

BAC != ABC
CBA != ACB
ACB != BAC

Given, Definition of a scalene triangle.


Line BD is an altitude Perpendicular to AC
 ADB =  CDB = 90 Degrees

Definition Altitude/Construction


ABD = 180 - (ADB + BAC)
CBD = 180 - (CDB + BCA)

A triangle must be 180 degrees


(Algebraically Simplified, using known angles)
90 - BAC
90 - BCA

Simplified


90 - BAC   !=   90 - BCA
(Note: This is because BAC and BCA are given as NOT EQUAL)
Thus
ABD != CBD

For the angle to bisect ABD must = CBD
But it can't! Thus

BD Does not bisect ABC Because the created angles are not equal.

Def. Bisect

Not knowing your math teacher I dont know how he/she wants these explained, but there is my proof i just made up. :s