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Mathematics 14 Online
OpenStudy (anonymous):

___ ___ ___ In triangle RST, DT intersects RT at D and ST at E. TD= 15cm, DR=18cm, TE= 20cm, and ES=24cm. __ ___ DE is parallel to RS. TRUEE OR FALSEE!! PLEASE HELP MEE(:

OpenStudy (anonymous):

Clarify DT intersects RT at D

OpenStudy (anonymous):

uhhhh sooo help lol

OpenStudy (anonymous):

DT intersecting RT at D makes no sense.

OpenStudy (anonymous):

DE DE!! SORRY

OpenStudy (anonymous):

IN triangle RST, DE interects RT and D and ST at E. TD= 15cm, DR=18cm, TE=20cm and ES= 24cm. DE is parallel to RS

OpenStudy (anonymous):

true, because ratio of SE-ET is the same as ratio of DR-DT, and angle T is shared, so triangle DET is similar to triangle RST. They are parallel.

Directrix (directrix):

15/18 = 20/24. < R is congruent to <R, so the triangles are similar by the SAS Similarity Theorem. DE is parallel to RS ---> Yes because of corresponding congruent angles coming from corresponding angles of the two similar triangles.

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