**TRIANGLE**in our Sixth grade Excel Math curriculum. Had we taught the subject too often? Had we tested students to exhaustion?

I investigated this situation and learned it was due solely to a

**Triangle Reference Page**which had adversely influenced the Adobe Acrobat word counter.

Triangular Pyramid (made of drinking straws)

I created the page about 4 years ago, and had forgotten about its existence. Here's some of the content, which you must admit is fairly triangle-dense in its vocabulary!

**Parts and Terms used in Triangles**

- An angle is the intersection of two line segments that share a common endpoint.
- Interior angle - measured inside the figure
- Exterior angle - measured outside the figure
- Right angle - 90 degrees
- Acute angle - less than 90 degrees but greater than zero
- Obtuse angle - greater than 90 degrees but less than 180 degrees
- Reflex angle - greater than 180 degrees
- Base - any one chosen side of a triangle, normally on the bottom
- Sides - the two non-base edges of a triangle
- Altitude - the height of a triangle, measured at a right angle from the base to the highest point and used in calculating the area of a triangle (1/2 base x height)

**Types of Triangles (described by their sides)**

- Scalene triangle - triangle with no congruent sides
- Isosceles triangle - triangle with at least 2 congruent sides
- Equilateral triangle - triangle with 3 congruent sides

**Types of Triangles (described by their angles)**

- Acute triangle - triangle with three acute angles
- Obtuse triangle - triangle with one obtuse angle (and 2 acute angles)
- Right triangle - triangle with one right angle (and 2 acute angles)
- Equiangular triangle - triangle with 3 congruent angles (pronounced
*ee-qwee-ang-you-lar*; try sayingquickly 3 times!)**Equiangular triangle** - 30 - 60 - 90 triangle - triangle with 3 specific angles
- 45 - 90 - 45 triangle - triangle with a right angle and two equal angles
- 60 - 60 - 60 triangle - an equiangular triangle

**Angles and Triangles**

- Supplementary angles are two angles that add up to 180 degrees. Can triangles have supplementary angles? (
*No, because the sum of all 3 angles is equal to 180 degrees.*) - Complementary angles are two angles that add up to 90 degrees. Can triangles have complementary angles? (
*Right triangles can.*) - Vertical angles are the angles formed by two intersecting lines. Can triangles have vertical angles? (
*No. Plane figures are formed by line segments, not intersecting lines.*) - Adjacent angles share a vertex and a common side but do not overlap. Can triangles have adjacent angles? (
*No, angles do not have common vertexes in a triangular figure. A triangular pyramid could have adjacent angles.*) - Interior angles are measured inside the figure. The sum of the 3 interior angles of a triangle is always 180 degrees.
- Exterior angles are measured outside the figure. The sum of the 3 exterior angles of a triangle is always 900 degrees. Are the exterior angles of a triangle always reflex angles? (
*Yes*) - The sum of the degrees of the exterior angles and interior angles is 1080 degrees. That's the same as the sum of the degrees found in 3 circles. Is there any meaning to this observation? (
*I don't know*)

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