AP EAMCET202423 May 2024Morning ShiftMathematicsProperties of TrianglesActual
In ABC , a^2 2 B+b^2 2 A=
Options
- A2 a b ~A
- B2 a b ~A
- C2 a b C
- D2 a b C
Correct answer
C. 2 a b C
Step-by-step solution
We know that aligned & a A = b B = c C =K & a=K A, b=K B, c=K C & a^2 2 B+b^2 2 A & =K^2 [ ^2 A 2 B B+ ^2 B 2 A A ] & =2 K^2 A B[ A B+ A B] & =2 a b (A+B)=2 a b ( -C)=2 a b C aligned