Question
Download Solution PDFIf the angles of a triangle ABC are in the ratio 1 : 2 : 3, then the corresponding sides are in the ratio
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
Sine rule:
Calculation:
Given: The angles of a triangle ABC are in the ratio 1 : 2 : 3
Let, ∠ A = x, ∠ B = 2x and ∠ C = 3x
⇒ ∠ A + ∠ B + ∠ C = 180° ...(By angle sum property)
⇒ x = 30°
⇒ ∠ A = 30°, ∠ B = 60° and ∠ C = 90°
As we know that,
⇒ a = k/2, b = √3 k/2 and c = k
Hence, a : b : c = 1 : √3 : 2Last updated on Jul 8, 2025
->UPSC NDA Application Correction Window is open from 7th July to 9th July 2025.
->UPSC had extended the UPSC NDA 2 Registration Date till 20th June 2025.
-> A total of 406 vacancies have been announced for NDA 2 Exam 2025.
->The NDA exam date 2025 has been announced. The written examination will be held on 14th September 2025.
-> The selection process for the NDA exam includes a Written Exam and SSB Interview.
-> Candidates who get successful selection under UPSC NDA will get a salary range between Rs. 15,600 to Rs. 39,100.
-> Candidates must go through the NDA previous year question paper. Attempting the NDA mock test is also essential.