Question
Download Solution PDFIn a ΔABC, points D and E are lying on AB and AC, respectively. DE is also parallel to the base BC. O is the intersection of BE and CD. If AD : DB = 4 : 3 find the ratio of DO to DC.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
Similar triangles:
Similar triangle are triangles that have the same shape, but their sizes may vary.
Properties:
- Both have the same shape but sizes may be different
- Each pair of corresponding angles are equal
- The ratio of corresponding sides is the same
Calculation:
In ΔADE and ΔABC
∠A is common
∠D = ∠B and ∠E = ∠C
∴ ΔADE ∼ ΔABC
According to similar triangle property
Similarly in ΔDOE & ΔBOC
∠DEO = ∠OBC (Corresponding angles are equal)
∠DOE = ∠BOC (vertically opposite angles)
∴ ΔDEO ∼ ΔOBC
Hence,
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