+0  
 
0
236
1
avatar

If the lengths of the bases of an isosceles trapezoid inscribed in a circle are 10 cm and 22 cm, and if one of the legs is 10 cm, then the length of a diagonal, in cm, is?

 

a) 6√10

b) 8√5

c) 6√3

d) 10√3

e) 12√2

Guest Jan 2, 2018
Sort: 

1+0 Answers

 #1
avatar+86649 
+1

We can find the height of this trapezoid as follows.....

 

h =  sqrt [ 10^2   -  6^2]  =  sqrt [100 - 36 ]  =  sqrt [ 64]  =   8

 

And the length  of the diagonal  will be the hypotenuse of a right triangle with legs of 8  and 16

 

So....the diagonal   is

 

sqrt  [ 8^2  +  16^2]  =    sqrt  [  8^2  ( 1  + 2^2) ]  =   8 sqrt (5)  units

 

 

cool cool cool

CPhill  Jan 2, 2018

8 Online Users

avatar

New Privacy Policy (May 2018)

We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive pseudonymised information about your use of our website. Please click on "Accept cookies" if you agree to the setting of cookies. Cookies that do not require consent remain unaffected by this, see cookie policy and privacy policy.