Question

The area of the triangle with vertices at the points (a,b + c), (b, c + a), (c, a + b) is-

• A. 0
• B. a + b + c
• C. ab + bc + ca
• D. None

Answer 1

Answer: (A)

0

Answer 2

Area of D = $\frac { 1 } { 2 }$ $\left| a(c - b) + b(a - c) + c(b - a) \right|$

= $\frac { 1 } { 2 }$ $|ac - ab + ba - bc + cb - ca|$= 0