Question
Download Solution PDFABC is a triangle and D is a point on the side BC. If BC = 16 cm, BD = 11 cm and ∠ADC = ∠BAC, then the length of AC is equal to:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
BC = 16 cm, BD = 11 cm and ∠ADC = ∠BAC
Concept:
If two angles and a side of the two triangles are equal, then both triangles will be similar by AA property.
Calculation:
In ΔABC and ΔDAC
⇒ ∠ADC = ∠BAC
⇒ ∠C = Common angle in both triangle
So, ΔABC and ΔDAC are similar triangle.
⇒ \({BC\over AC}={AC\over DC}\)
⇒ AC2 = BC × DC
⇒ AC2 = 16 × 5 = 80
⇒ AC = 4√5
∴ The required result will be 4√5.
Last updated on Jul 10, 2025
-> The SSC CGL Application Correction Window Link Live till 11th July. Get the corrections done in your SSC CGL Application Form using the Direct Link.
-> This year, the Staff Selection Commission (SSC) has announced approximately 14,582 vacancies for various Group B and C posts across government departments.
-> The SSC CGL Tier 1 exam is scheduled to take place from 13th to 30th August 2025.
-> Aspirants should visit ssc.gov.in 2025 regularly for updates and ensure timely submission of the CGL exam form.
-> Candidates can refer to the CGL syllabus for a better understanding of the exam structure and pattern.
-> The CGL Eligibility is a bachelor’s degree in any discipline.
-> Candidates selected through the SSC CGL exam will receive an attractive salary. Learn more about the SSC CGL Salary Structure.
-> Attempt SSC CGL Free English Mock Test and SSC CGL Current Affairs Mock Test.