8.1 Non-right triangles: law of sines  (Page 5/10)

Describe the altitude of a triangle.

Compare right triangles and oblique triangles.

When can you use the Law of Sines to find a missing angle?

In the Law of Sines, what is the relationship between the angle in the numerator and the side in the denominator?

What type of triangle results in an ambiguous case?

$\alpha =\mathrm{43°},\gamma =\mathrm{69°},a=20$

$\alpha =\mathrm{35°},\gamma =\mathrm{73°},c=20$

$\alpha =\mathrm{60°},\beta =\mathrm{60°},\gamma =\mathrm{60°}$

$a=4,\alpha =\mathrm{60°},\beta =\mathrm{100°}$

$b=10,\beta =\mathrm{95°},\gamma =\mathrm{30°}$

Find side $b$ when $A=\mathrm{37°},B=\mathrm{49°},c=5.$

Find side $a$ when $A=\mathrm{132°},C=\mathrm{23°},b=10.$

Find side $c$ when $B=\mathrm{37°},C=21,b=23.$

$\alpha =\mathrm{119°},a=14,b=26$

$\gamma =\mathrm{113°},b=10,c=32$

$b=3.5,c=5.3,\gamma =\mathrm{80°}$

$a=12,c=17,\alpha =\mathrm{35°}$

$a=20.5,b=35.0,\beta =\mathrm{25°}$

$a=7,c=9,\alpha =\mathrm{43°}$

$a=7,b=3,\beta =\mathrm{24°}$

$b=13,c=5,\gamma =\mathrm{10°}$

$a=2.3,c=1.8,\gamma =\mathrm{28°}$

$\beta =\mathrm{119°},b=8.2,a=11.3$

Find angle $A$ when $a=24,b=5,B=\mathrm{22°.}$

Find angle $A$ when $a=13,b=6,B=\mathrm{20°.}$

Find angle $B$ when $A=\mathrm{12°},a=2,b=9.$

$a=5,c=6,\beta =\mathrm{35°}$

$b=11,c=8,\alpha =\mathrm{28°}$

$a=32,b=24,\gamma =\mathrm{75°}$

$a=7.2,b=4.5,\gamma =\mathrm{43°}$

Notice that $x$ is an obtuse angle.

Find the radius of the circle in [link] . Round to the nearest tenth.

Find the diameter of the circle in [link] . Round to the nearest tenth.