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along with advance rules of triangles

2006-12-16 07:23:18 · 5 answers · asked by Anonymous in Science & Mathematics Mathematics

5 answers

There so many. Some come fro Geometry and others from trigonometry. But I think the main ones are:
The sum of the angles is 180 degrees
The area is 1/2 base times altitude
The sum of any two sides must be greater than the third side
The angle bisectors intersect at a point called the incenter
The Perpendicular bisectors intersect at the circumcenter
An exterior angle is = to the sum of the two non adjacent interior angles and is greater than either one of them.
In a 30-60-90 degree triangle the hypotenuse is twice the Short leg and the longer leg = shorter leg times sqrt(3)
In a right triangle a^2 +b^2 =c^2 where c is hypotenuse.
In an isosceles triangle the base angles are =
If the base angles are equal, the triangle is isosceles
All of the congruency theorem are extremely important
In any triangle c^2 = a^2 +b^2-2ab cos x
In any triangle a/sin A =b/sin B = c/ sin C
There are many more, but I think this enough for now.

2006-12-16 07:51:07 · answer #1 · answered by ironduke8159 7 · 0 0

the pagor. theory states :

a^2 + b^2 + c^2
in a equal. triangle all the sides are equal
the distance around the outside of a trianglre is called the perimeter
the interior angles of a any triangle is to 180 degrees

any triangle has 6 exterior angles

2006-12-16 15:32:42 · answer #2 · answered by Anonymous · 0 1

Their angles add up to 180 degrees.
Area equals 1/2bh.
Trig. properties.
Volume is 0.
Can be determined with SAS, ASA, SSS, AAS, Hypothenuse Leg.
Pythagorean theorem.

2006-12-16 15:26:47 · answer #3 · answered by Bao L 3 · 0 0

All triangles have three sides (a, b, and c).

a+b>c
b+c>a
a+c>b

2006-12-16 15:26:09 · answer #4 · answered by Anonymous · 0 0

There are countless theorems on triangles.
Here's a link to most of them:
http://mathforum.org/dr.math/faq/formulas/faq.triangle.html

2006-12-16 15:35:18 · answer #5 · answered by knock knock 3 · 0 0

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