Question
Let A, B and C are the angles of a triangle and A 2 = 1 3 , B 2 = 2 3 . Then, C 2 is equal to
BITSAT
Mathematics
Trigonometric Ratios & Identities
2024
BITSAT 2024 (Memory Based Paper 3)
BITSAT Mathematics Question (2024) — Solution
Options
- A. 7 9
- B. 2 9
- C. 1 3
- D. 2 3
Answer
A. 7 9
Step-by-step solution
\( aligned & A + B + C =180^ (Angle sum property of a triangle) \\ & A + B =180^ - C \\ & A+B 2 =90^ - C 2 \\ & ( A 2 + B 2 )= (90^ - C 2 ) \\ & A / 2+ B / 2 1- A / 2 B / 2 = C / 2 \\ & 1 3 + 2 3 1- 1 3 2 3 = C / 2 1 1- 2 9 = C / 2 \\ & 9 7 = C / 2 C / 2=7 / 9 aligned \)
Related: Mathematics — Trigonometric Ratios & Identities · All PYQ Banks