Question

Se consider trapezul ABCD , AB este paralel cu CD. AB=3cm BC=26cm CD=22,5 cm AD=13cm.Fie M intersectia dreptelor AD si BC . Calculati lungimile segmentelor MA MB MC MD

Answer 1

MA/MB=MB/MC=AB/CD
MA/MA+13=2/22,5
22,5MA=3MA+39
19,5MA=39
MA=2

MB/MB+26=3/22,5
22,5MB=3MB+78
19,5MB=78
MB=4

MD=MA+ad=2+13=15
MC=MB+BC=4+26=30