If the area of the triangle with vertices A(x, 4), B(-2, 4) and C(2, -6) is 35 sq units, then the values of x are :
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → 5, -9
Area = $\begin{vmatrix}\frac{1}{2}\begin{vmatrix}x&4&1\\-2&4&1\\2&-6&1\end{vmatrix}\end{vmatrix}$
$⇒\left|\frac{1}{2}(10)(x+2)\right|=35$
$\left|(x+2)\right|=7$
So $x+2=±7⇒x=5, -9$