Question
Download Solution PDFIn ΔABC, AB = 8 cm. ∠A is bisected internally to intersect BC at D. BD = 6 cm and DC = 7.5 cm. What is the length of CA?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
In ΔABC, AB = 8cm
∠A bisected internally to intersect BC at D.
AB = 8 cm, BD = 6 cm and DC = 7.5 cm
Concept used:
In a triangle, the angle bisector of an angle is divides the opposite side to the angle in the ratio of the remaining two sides.
\(\frac{AB}{AC} = \frac{BD}{DC}\)
Calculation:
AB = 8 cm, ∠A is bisected internally to intersect BC at D,
⇒ AB/AC = BD/CD
⇒ 8/AC = 6/7.5
∴ AC = 10 cmLast updated on Jun 11, 2025
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