Exercises: Prove the Laws of Sines and Cosines

Grade 10·21 problems·~35 min·Common Core Math - HS Geometry·standard·hsg-srt-d-10

Work through problems with immediate feedback

Recall and Warm-Up

Which equation correctly states the Law of Sines for triangle $ABC$ with sides $a$ , $b$ , $c$ opposite angles $A$ , $B$ , $C$ ?

$\frac{a}{\sin A} = \frac{b}{\sin B} = \frac{c}{\sin C}$

$\frac{\sin A}{b} = \frac{\sin B}{a} = \frac{\sin C}{c}$

$\frac{a}{b} = \frac{\sin A}{\sin B} = \frac{c}{\sin C}$

$a \cdot \sin A = b \cdot \sin B = c \cdot \sin C$