The bisector of angle A of parallelogram ABCD intersects side BC to point E, find EC if AB = 5cm and AD = 7cm.

Since the segment AE is the bisector of the angle BAD, the angle BAE = DAE.

Angle DAE = AEB as crossing angles at the intersection of parallel AD and BC secant AE, then angle BAE = BEA, and triangle ABE is isosceles, AB = BE = 5 cm.

In a parallelogram, the lengths of the opposite sides are equal, BC = AD = 7 cm, then EC = BC – BE = 7 – 5 = 2 cm.

Answer: The length of the EС segment is 2 cm.

One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.

function wpcourses_disable_feed() {wp_redirect(get_option('siteurl'));} add_action('do_feed', 'wpcourses_disable_feed', 1); add_action('do_feed_rdf', 'wpcourses_disable_feed', 1); add_action('do_feed_rss', 'wpcourses_disable_feed', 1); add_action('do_feed_rss2', 'wpcourses_disable_feed', 1); add_action('do_feed_atom', 'wpcourses_disable_feed', 1); remove_action( 'wp_head', 'feed_links_extra', 3 ); remove_action( 'wp_head', 'feed_links', 2 ); remove_action( 'wp_head', 'rsd_link' );