Question

ABC is an equilateral triangle of side 'a'. Then AB.BC + BC. CA+CA.AB =​

Answer 1

Answer:

Step-by-step explanation:

1st way ABC is an equilateral triangle so AB=BC=AC = X(let it be x )

AB.BC + BC. CA+CA.AB =​

x*x+x*x+x*x =

x^2 + x^2 + x^2 = 3x^2

or, 3(AB)^2 OR 3(BC)^2 OR 3(CA)^2

2nd way

AB.BC + BC. CA+CA.AB =   (by taking them as variables)

ACB^2 + BAC^2 + BCA^2 =

B(ACB + AC^2 + CA^2) =

B(C(AB + AC + A^2)) =

B(C(A(B + C + A))) =

B * C * A * (A+B+C)