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.
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 Jul 21, 2025
-> The Railway Recruitment Board has scheduled the RRB ALP Computer-based exam for 15th July 2025. Candidates can check out the Exam schedule PDF in the article.
-> RRB has also postponed the examination of the RRB ALP CBAT Exam of Ranchi (Venue Code 33998 – iCube Digital Zone, Ranchi) due to some technical issues.
-> SSC Selection Post Phase 13 Admit Card 2025 has been released @ssc.gov.in
-> UGC NET June 2025 Result Out at ugcnet.nta.ac.in
-> There are total number of 45449 Applications received for RRB Ranchi against CEN No. 01/2024 (ALP).
-> The Railway Recruitment Board (RRB) has released the official RRB ALP Notification 2025 to fill 9,970 Assistant Loco Pilot posts.
-> The official RRB ALP Recruitment 2025 provides an overview of the vacancy, exam date, selection process, eligibility criteria and many more.
->The candidates must have passed 10th with ITI or Diploma to be eligible for this post.
->The RRB Assistant Loco Pilot selection process comprises CBT I, CBT II, Computer Based Aptitude Test (CBAT), Document Verification, and Medical Examination.
-> This year, lakhs of aspiring candidates will take part in the recruitment process for this opportunity in Indian Railways.
-> Serious aspirants should prepare for the exam with RRB ALP Previous Year Papers.
-> Attempt RRB ALP GK & Reasoning Free Mock Tests and RRB ALP Current Affairs Free Mock Tests here
-> Bihar Police Driver Vacancy 2025 has been released @csbc.bihar.gov.in.
->UGC NET Final Asnwer Key 2025 June has been released by NTA on its official site