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

c. One

Step-by-step explanation:

step 1

Find the value of B

Applying the law of sines

substitute the given values

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

step 3

Find the value of c

Applying the law of sines

substitute the given values

so

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