# Geometry Problem 1559: Proving BC Bisects Segment DE. This geometry problem challenges students at high school and college levels

In triangle ABC, construct exterior triangles ABD and BCE in a way that angles ACB, CBE, and ABD are congruent, and angles DAB and BCE are also congruent. Your task is to prove that BC bisects segment DE.

In the triangle's hold,

Exterior realms unfold,

Congruence, the gold.

BC bisects with proof's embrace,

Geometry's elegant grace.

####
Academic Levels: Suitable for High School and College Mathematics
Education

### Read more, explore further

Geometry Problems

Open Problems

Visual Index

All Problems

Angles

Triangle

Midpoint

Similarity

Congruence

View or Post a solution

### Discover Even More: See Also...

#### Problem 1558

#### Problem 1557

#### Problem 1556

### Search our site with Google: