Question
Download Solution PDFखाली दिलेल्या आकृतीमध्ये, AB ∶ BC = 4: 5 असल्यास, AD: AB गुणोत्तर शोधा.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिलेली माहिती, AB ∶ BC = 4 ∶ 5
⇒ BC = (5/4) × AB
∵ AC = AB + BC
⇒ AC = AB + (5/4) × AB = (9/4) × AB
टॅन्जेन्ट-कोसाइन प्रमेय लागू केल्यास, टॅन्जंट आणि कोसाइन खालील प्रमाणे संबंधित आहेत,
⇒ AD2 = AB × AC
⇒ AD2 = (9/4) × AB2
⇒ AD/AB = √(9/4) = 3/2
∴ AD ∶ AB = 3 ∶ 2
Last updated on May 29, 2025
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