
Algebra PreAlgebra and Basic Algebra Math Forum 
 LinkBack  Thread Tools  Display Modes 
June 26th, 2011, 08:43 PM  #1 
Joined: Jun 2011 Posts: 2 Thanks: 0  intersection of diagonals of a trapezoid
I have an isosceles trapezoid, of which I know the following information: the lenght of sides, long base and diagonals. How can I find the shorter base and the height? I have been trying to find similar triangles, but everytime I do it seems that they both have too many unknowns to help. What am I missing? Is there something that can help me about where the diagonals intersect? Thanks for any help!! 
June 26th, 2011, 10:38 PM  #2 
Senior Member Joined: Apr 2007 Posts: 2,140 Thanks: 0 
a, b, c, d and h are shorter base, diagonals, sides, long base and height respectively. 
June 27th, 2011, 12:57 PM  #3 
Global Moderator Joined: Oct 2008 From: London, Ontario, Canada  The Forest City Posts: 6,424 Thanks: 446 Math Focus: Elementary mathematics and beyond  Re: intersection of diagonals of a trapezoid
Since an isoceles trapezoid is a cyclic quadrilateral, Ptolemy's theorem may be of interest: http://en.wikipedia.org/wiki/Cyclic_...eral#Diagonals 

Tags 
diagonals, intersection, trapezoid 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
diagonals  caters  Algebra  5  February 28th, 2014 06:58 PM 
More Finite Diagonals!  johnr  Number Theory  2  April 29th, 2013 05:00 AM 
union of intersection, intersection of unions  annakar  Applied Math  1  January 7th, 2013 04:16 PM 
Number of diagonals  zelmac  Algebra  4  March 7th, 2012 04:09 AM 
Bisection of the diagonals of a Parallelogram  Spennet  Linear Algebra  1  August 20th, 2011 08:23 AM 