SOLUTION: Question : D and E are respectively the points on the sides AB and AC of a triangle ABC such that AD = 2 cm, BD = 3 cm, BC = 7.5 cm and DE//BC. Then, length of DE (in cm) is

Question 1073854: Question : D and E are respectively the points on the sides AB and AC of
a triangle ABC such that AD = 2 cm, BD = 3 cm, BC = 7.5 cm and DE//BC. Then,
length of DE (in cm) is
(A) 2.5 (B) 3 (C) 5 (D) 6
plzz provide full answer to this question
Answer by MathTherapy(10552) (Show Source): You can put this solution on YOUR website!
Question : D and E are respectively the points on the sides AB and AC of
a triangle ABC such that AD = 2 cm, BD = 3 cm, BC = 7.5 cm and DE//BC. Then,
length of DE (in cm) is
(A) 2.5 (B) 3 (C) 5 (D) 6
plzz provide full answer to this question

 ========> This proportion was formed as triangles ADE and ABC are similar

 -------- Substituting 2 for AD, 5 for AB, and 7.5 for BC

5DE = 2(7.5) ----- Cross-multiplying

 

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