State whether the given measurements determine zero, one, or two triangles. A = 61°, a = 23, b = 24

One

Step-by-step explanation:

Find the value of B

Applying the law of sines

=

substitute the given values

=

sin (B) = Sin(61)

step 2

Find the measure of angle C

Remember that the sum of the interior angles in any triangle must be equal to 180 degrees

so

61 + 65.87 + C = 180

C = 53.13

step 3

Find the value of c

Applying the law of sines

=

substitute the given values

=

c = SIN (53.13)

C=21.04 units

so

there can only be one value for each measurement, therefore there can only be one triangle