Sine Law Ambiguous

How many triangles are there possible given:

A=70°, c=26, a=25

• 0 triangles

• 1 triangle

• 2 triangles

The ambiguous case is for which type of triangle?

• ASA

• AAS

• SSA

• SAS

Based on the given information determine the number of unique triangles that may exist.
E= 38.7°, f = 203, e = 172

• Triangle

• Triangles

• No Triangles

What is the measure of angle A?

• 58 degrees

• 61 degrees

• 78 degrees

• 74 degrees

In this case of an ambiguous triangle, find the measure of ∠ADB (round to a whole number).

• 25°

• 10°

• 58°

• 122°

What is the length of side x?

• 130 cm

• 112 cm

• 150 cm

• 105 cm

∠A = 28°, a = 10.5 m, b = 15.0 m

Does this triangle fit the "ambiguous case" and which explanation is best?

• no, because only one triangle exists for all measurements

• no, because the known angle corresponds to the shorter length

• yes, because the known angle corresponds to the shorter length

• yes, because length b could be the hypotenuse of a right-angled triangle

Solve for the misssing distance

• 18.9

• 19.5

• 47

• 27.5

For which scenario would you need to use the ambiguous case?

• SSS

• AAS

• ASA

• SSA

Which equation shows how you would use the law of sines to find angle A?