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Browse High School Triangles and Other Polygons
Stars indicate particularly interesting answers or good places to begin browsing.

Selected answers to common questions:
    Area of an irregular shape.
    Classifying quadrilaterals.
    Heron's formula.
    Polygon diagonals.
    Pythagorean theorem proofs.
    Triangle congruence.



What Is the Length of PR? [01/01/2003]
In a circle of radius 6, a triangle PQR is drawn having QR=8 and PQ=10.

Why are Manhole Covers Round? [05/09/2000]
Why are most manhole covers round? Why aren't manhole covers on the streets squares or rectangles?

Why a Square Maximizes Area/Perimeter [07/24/2002]
Is it possible to make a rectangle with a perimeter of 16 feet and an area greater than 16 square feet?

Why Do the Angles of a Triangle Add to 180 Degrees? [4/17/1996]
We were wondering why all the angles in a triangle add up to 180 degrees.

Why do the Midpoints of Quadrilaterals Make a Parallelogram? [2/7/1996]
Why is it that if you join the midpoints of any quadrilateral you always get a parallelogram?

Why There Is No SSA Congruence Postulate or Theorem [03/29/2005]
In the correspondence of two triangles, if SSA = SSA, are the triangles congruent?

Will the Tree Hit the House? [05/18/1999]
A tree is leaning at 70 degrees, our house is 66 1/2 feet away, and the angle from our house to the top of the tree is 40 degrees...

World War II Window Blackout [10/21/2001]
Mr. Brown had a square window 120cm x 120cm, but the only material he could find was a sheet of plywood 160cm x 90cm; same area, different shape. He drew some lines and cut out just two congruent shapes, which he joined to make a square of the correct size. How did he do it?

You Can't Trisect an Angle [7/16/1996]
Who proved you can't trisect an angle?

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