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Browse Middle School Triangles and Other Polygons
Stars indicate particularly interesting answers or
good places to begin browsing.
Selected answers to common questions:
Classifying quadrilaterals.
Polygon diagonals.
Pythagorean theorem proofs.
 How Many Triangles Have Sides Whose Lengths Total 15? [5/6/1995]

How many triangles can one construct with integral sides adding up to 15?
 How Tall is Hal? [04/18/2001]

Hal is standing 40 feet away from a 36ft. tree. If the distance from the
top of the tree to the top of Hal's head is 50 ft., how tall is Hal?
 How to Increase the Sides to Double the Area of a Square [01/28/2005]

I am puzzled as to how you would double the area of a square. Do you
multiply the sides by some decimal?
 How Wide is the Garden? [01/06/1998]

A rectangular garden has a 136ft. fence around it. The garden is 40 feet
long. How wide is it?
 Importance of Surface Area [05/26/2001]

Why is surface area so important? What kinds of things depend on surface
area?
 Inclusive and Exclusive Definitions [04/05/2001]

Are squares rectangles? Are rectangles squares?
 Inclusive vs. Exclusive Definitions [01/24/2002]

My geometry teacher says that a square is not also a rhombus, a
rectangle, and a parallelogram. Please help!
 Inscribing a Regular Pentagon within a Circle [04/15/1999]

What are the reasons for the steps in inscribing a regular pentagon
within a circle with only the help of a compass and a straightedge?
 Insufficient Altitude [10/09/2003]

The base of a triangle is 1200 ft. The altitude is 500 ft. What is the
length of the third side?
 Inverse Pythagorean Theorem [05/10/2001]

How can you tell a triangle is a right triangle without looking at the
triangle and just how long the sides are?
 Is a Circle a Polygon? [03/07/1999]

A circle is not a polygon.
 Is an Equilateral Triangle Also Isosceles? [02/19/2008]

Can equilateral triangles also be classified as isosceles? In other
words, does an isosceles triangle have exactly two equal sides or at
least two equal sides?
 Is a Square a Rectangle? [06/04/1997]

Are squares rectangles? What is a pentagon?
 Is a Star Concave or Convex? [4/2/1996]

Is a starshaped polygon convex?
 Is Kite the True Name? [03/29/2002]

Is kite the true math name for this shape, or is there another?
 Isosceles Triangle  Angles [11/06/1996]

Given that one base angle of an isosceles triangle is 39 degrees, find
the measure of the other two angles in the triangle.
 Is This a Square? [01/30/2001]

Given four points on a graph, what can I do to verify this is a square?
 Kites And Triangles [11/02/1998]

What are kites, and how are they related to triangles?
 Largest Triangle in a Square [10/31/1998]

If the area of a square is 1, what is the largest area of a triangle
constructed inside the square? How would you prove it?
 Least Perimeter [10/13/2002]

Finding a formula for least perimeter of a square or rectangle.
 LeftSided Rhombuses in a Larger Rhombus [05/22/2000]

How many leftsided, rightsided, and vertical rhombuses can be found in
a larger NxN rhombus?
 Leg of a Triangle [04/02/2002]

I need to know where the name "leg" of a triangle comes from, or what its
origin is.
 Length of a Rectangle Side [8/24/1996]

The length of a rectangle is 9 cm more than half the width...
 The Length of the Sides of Polygons [3/7/1996]

How many feet should each side be in a regular octagon / hexagon /
pentagon if the area is 7,000 square feet?
 Length, Width of Rectangle Given Perimeter [9/4/1996]

If the perimeter of a rectangle is 300 and the length is two times the
width...
 Letter Names for Triangles [05/16/2000]

When a triangle is named by the letters of its vertices, why are the
letters in the order they are? Could they be in any order?
 Linear Systems of Equations in Two Variables [06/18/1999]

How can I find the length of AE, EB and DC, given that parallelogram ABCD
has a perimeter of 50, trapezoid AECD has a perimeter of 39, and AE = EC?
 Lines of Symmetry [01/29/2001]

How do you find the number of lines of symmetry there are in a polygon?
 Lines of Symmetry [03/17/1997]

What are lines of symmetry?
 Ludolph van Ceulen and Pi [11/02/1998]

How did Ludolph van Ceulen estimate pi by inscribing and circumscribing a
circle with squares?
 Making a Parallelogram [06/19/2001]

Make five shapes  a parallelogram, a square, and three triangles  into
one parallelogram.
 Making Triangles [11/12/2001]

Make a triangle that contains 180 degrees without using a protractor.
 Math and Sports [02/26/1997]

Can you give me information on how math relates to sports?
 Measuring the Height of a Building Using Shadows [05/24/2000]

What time of day is best to use a shadow to measure the height of a
building by using triangles?
 Medians of a Triangle [02/16/1999]

Prove that the 3 medians of a triangle divide themselves up into a ratio
of 1:2.
 Midsegment Theorem [02/02/1999]

Can you help me prove the MidSegment Theorem?
 Minimum Distance [5/22/1995]

Inside a rectangular room a spider is at a point on the middle of one of
the end walls and a fly is on the opposite wall. What is the shortest
distance the spider must crawl to reach the fly?
 Names of Polygons [9/13/1995]

What is the correct name for an elevensided polygon?
 Names of Triangles and Angles [07/25/2001]

My teacher told me to find names of triangles other than equilateral and
isosceles.
 Name That Polygon [12/03/1999]

Can you help me figure out what kind of polygons are being described
based on these clues?
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