VectorMethod
LawOfSines
LawOfCosines
PlaneGeometry
Intermediate
Let $\triangle{ABC}$ be an acute triangle and $a, b, c$ be the three sides opposite to $\angle{A}, \angle{B}, \angle{C}$ respectively. If vectors $m=(a+c,b)$ and $n=(a-c, b-a)$ satisfy $m\cdot n = 0$,
(1) Compute the measurement of $\angle{C}$.
(2) Find the range of $\sin{A} + \sin{B}$.
The solution for this problem is available for
$0.99.
You can also purchase a pass for all available solutions for
$99.