Question
Download Solution PDFIn a ΔABC, a line DE is drawn parallel to the side BC. If it is given that AD: DB = 5: 7, and AC = 15 cm, then find the length of AE?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGIVEN:
AD : DB = 5 : 7, and AC = 15 cm
CONCEPT:
For two similar ΔABC and ΔXYZ:
AB/XY = BC/YZ = AC/XZ
CALCULATION:
As DE is parallel to BC:
△ABC and △ADE will be similar (By AAA property)
So,
AD/AB = AE/AC
⇒ 5/(5 + 7) = AE/15
⇒ AE = 75/12
⇒ AE = 6.25 cm
∴ Length of AE is 6.25 cm
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