Question

The area of triangle formed by the points $(a,b + c),$ $(b,c + a),$ $(c,a + b)$ is equal to.

• A. $abc$
• B. $a^{2} + b^{2} + c^{2}$
• C. $ab + bc + ca$
• D. 0

Answer 1

Answer: (D)

0

Answer 2

Area of triangle $= \frac { 1 } { 2 } \left| \begin{array} { l l l } a & b + c & 1 \\ b & c + a & 1 \\ c & a + b & 1 \end{array} \right|$

$= \frac { 1 } { 2 } \left| \begin{array} { l l l } a + b + c & b + c & 1 \\ b + c + a & c + a & 1 \\ c + a + b & a + b & 1 \end{array} \right|$

.