April 9th, 2018, 12:07 AM  #1 
Senior Member Joined: Aug 2014 From: India Posts: 310 Thanks: 1  How CC` formula is written?
The lengths of the two parallel sides of an isosceles trapezium are 20 cm and 28 cm and the lengths of each of the non parallel sides is 5 cm. What is the distance between the parallel sides of the trapezium? Let ABCD be the given trapezium Let CC` be perpendicular drawn from C to B given that AB = 28 cm, CD = 20 cm BC` = 1 \ 2 (AB  CD) = 1\ 2 ( 8 ) = 4 cm CC` = $\sqrt (BC^2  BC`^2)$ $\sqrt (5^2  4^2)$ = 3 cm. CC` = 3 cm Last edited by skipjack; April 9th, 2018 at 08:02 AM. Reason: correct 25 to be 28. 
April 9th, 2018, 12:33 AM  #2 
Senior Member Joined: Sep 2015 From: USA Posts: 2,099 Thanks: 1093 
Is there a question here?

April 9th, 2018, 12:50 AM  #3 
Senior Member Joined: Aug 2014 From: India Posts: 310 Thanks: 1 
How CC` formula is written?

April 9th, 2018, 03:44 AM  #4 
Math Team Joined: Jan 2015 From: Alabama Posts: 3,261 Thanks: 894 
Draw the corresponding DD' perpendicular to AB from D. That divides the trapezoid into two right triangles and one rectangle. By "symmetry" (equivalently using triangle congruence theorems) the two triangles are congruent and length CC' is the same as length DD'. Length AB is 28 and Length CD is 20. So what are the lengths of AD' and BC' (which are equal? Lengths AD and BC are given as 5. Use the Pythagorean theorem to find length CC'. 
April 9th, 2018, 06:58 AM  #5 
Global Moderator Joined: Dec 2006 Posts: 19,528 Thanks: 1750  
April 9th, 2018, 07:52 AM  #6 
Senior Member Joined: Aug 2014 From: India Posts: 310 Thanks: 1  
April 9th, 2018, 08:08 AM  #7 
Global Moderator Joined: Dec 2006 Posts: 19,528 Thanks: 1750 
Let's assume that AB > CD, as in the diagram. By the symmetry of the isosceles trapezium, BC` = AB/2  CD/2. By Pythagoras, CC`² + BC`² = BC². 

Tags 
cc`, formula, written 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
This can also be written.. How?  yuceelly  Trigonometry  3  December 19th, 2015 10:55 AM 
Show that every element of G can be written as such?  mathman1990  Abstract Algebra  0  October 6th, 2011 04:48 AM 
Number written on a board =) =)  Sara so  Algebra  4  January 4th, 2011 06:29 AM 
Numbers written on a board =)  Sara so  Algebra  3  January 3rd, 2011 09:27 PM 
Help with Written Proofs  mathmajorintrouble  Abstract Algebra  11  May 4th, 2009 11:41 AM 