Sunday, August 18, 2013

I need some Geometry help with Triangles.Name the three triangles that are classified by their sides. Name the four triangles that are classified...

The types of triangles classified by their sides are as follows:

1) Scalene- a triangle with no congruent sides. Congruent sides are the legs of a triangle that are of equal length.

2) Isosceles- a triangle with two congruent sides.

3) Equilateral- a triangle with three congruent sides.

The four types of triangles classified by their angles are as follows:

1)Acute- all interior angles measure less than 90 degrees

2)Right- one interior angle is 90 degrees

3)Obtuse- one interior angle measures more than 90 degrees

4)Equiangular- all interior angles are equal.

Unless you are using non Euclidean geometry (Not to worry, you are using Euclidean geometry.) the sum of the interior angles of any type of triangle is ALWAYS 180 degrees. 

Since we know that the sum of the interior angles of any triangle equals 180 degrees, we can find the sum of the acute angles of a right triangle by simple subtracting what we know (a right triangle has an angle equal to 90 degrees) from the total.

180=90+(a+b)

180-90=(a+b)

90=(a+b)

where (a+b) is equal to the sum of the acute angles of any right triangle

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