-->

Triangles

Question
CBSEENMA10007054

In Fig. (i) and (ii), DE || BC. Find EC in (i) and AD in (ii).


Solution
(i)  In ∆ABC, we have
               space space DE parallel to BC
rightwards double arrow space space space space space space space space space space space space AD over DB equals AE over EC
             [By Basic proportionality therorem]
<pre>uncaught exception: <b>mkdir(): Permission denied (errno: 2) in /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php at line #56mkdir(): Permission denied</b><br /><br />in file: /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php line 56<br />#0 [internal function]: _hx_error_handler(2, 'mkdir(): Permis...', '/home/config_ad...', 56, Array)
#1 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php(56): mkdir('/home/config_ad...', 493)
#2 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/FolderTreeStorageAndCache.class.php(110): com_wiris_util_sys_Store->mkdirs()
#3 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/RenderImpl.class.php(231): com_wiris_plugin_impl_FolderTreeStorageAndCache->codeDigest('mml=<math xmlns...')
#4 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/TextServiceImpl.class.php(59): com_wiris_plugin_impl_RenderImpl->computeDigest(NULL, Array)
#5 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/service.php(19): com_wiris_plugin_impl_TextServiceImpl->service('mathml2accessib...', Array)
#6 {main}</pre>
(ii) In ∆ABC, we have
                     space space space space space DE parallel to BC
rightwards double arrow              space space AD over DB equals AE over EC
                  [By Basic proportionality theorem]
space space rightwards double arrow space space space space space space space space space space space space space space space space space space space fraction numerator AD over denominator 7.2 end fraction equals fraction numerator 1.8 over denominator 5.4 end fraction
space space rightwards double arrow space space space space space space space space space space space space space space space space space space space space space space space space space space AD space equals space fraction numerator 7.2 cross times 1.8 over denominator 5.4 end fraction equals 2.4 space cm.