MathDB

2014.7.4

Part of Kyiv City MO Juniors 2003+ geometry

Problems(1)

BP=CP when AD=AB+CD, angle bisectors related in ABCD (2014 Kyiv City MO 7.4)

Source:

8/5/2020
In the quadrilateral ABCDABCD the condition AD=AB+CDAD = AB + CD is fulfilled. The bisectors of the angles BADBAD and ADCADC intersect at the point PP , as shown in Fig. Prove that BP=CPBP = CP. https://cdn.artofproblemsolving.com/attachments/3/1/67268635aaef9c6dc3363b00453b327cbc01f3.png
(Maria Rozhkova)
geometryangle bisectorequal segments