Triangles


Latest update to this document: 14 November 2004


This page has been designed for 7th to 8th grade students. A triangle is a three-sided figure that contrasts other triangles by the measure of their angles or the lengths of their sides. The table below shows examples of a brief description of each of the triangles. A scalene triangle is one of the easiest triangle's to draw. The main objective is to draw three sides that are not equal, and connect them. There is no special angle or measure of length for the sides. An isosceles triangle can either be a right, obtuse, or acute triangle with two sides of the same length, and can have any type of measure for their angles. An equilateral triangle must have all sides equal in length, and have all angles must be 60 degrees. An obtuse angle is any type of triangle, but at least one side must be greater than 90 degrees. There will be different variations of this type of triangle depending on the measure of its angle. A right triangle is a triangle which does not have to have equal sides, but has to have at least one angle equal to 90 degrees. Most of the right triangles will look the same; there will only be different sizes because of the lengths of each side. An acute triangle has no specific measure of length, but all the angles must measure less than 90 degrees. This is a basic overview on the types of triangles. At the end of the page there is a quiz on the types of triangles.


Types of Triangles


ScaleneTriangle with no sides of equal length.
IsoscelesTriangle with two sides of equal length.
EquilateralTriangle with exactly three sides of equal length.
Obtuse TriangleTriangle with one of the angles measuring more than 90 degrees.
Right TriangleTriangle with one angle measuring 90 degrees.
Acute TriangleTriangle with all angles measuring less than 90 degrees.

A definitions quiz on triangles.

1. Which triangle has a 90 degree angle?

A. Right Triangle
B. Obtuse Triangle
C. Scalene Triangle
D. Isosceles Triangle
E. Equilateral Triangle
F. Acute Triangle


2. This triangle has two equal sides?

A. Right Triangle
B. Obtuse Angle
C. Scalene Triangle
D. Isosceles Triangle
E. Equilateral Triangle
F. Acute Triangle


3. Triangle that has no equal sides?

A. Right Triangle
B. Obtuse Angle
C. Scalene Triangle
D. Isosceles Triangle
E. Equilateral Triangle
F. Acute Triangle


4. Has one angle greater than 90 degrees, but less than 180 degrees?

A. Right Triangle
B. Obtuse Angle
C. Scalene Triangle
D. Isosceles Triangle
E. Equilateral Triangle
F. Acute Triangle


5. Has all angles less than 90 degrees?

A. Right Triangle
B. Obtuse Angle
C. Scalene Triangle
D. Isosceles Triangle
E. Equilateral Triangle
F. Acute Triangle


6. Which triangle has three equal sides?

A. Right Triangle
B. Obtuse Angle
C. Scalene Triangle
D. Isosceles Triangle
E. Equilateral Triangle
F. Acute Triangle


Scroll down to receive the answers to the questions.























Answers: 1. A, 2. D, 3. C, 4. B, 5. F, 6. E


Links

CS255 Computers in El Ed Home Page

NMU Mathematics/Computer Science Department

Northern Michigan University


J. A. Bosanic: jbosanic@nmu.edu