Answer:
One triangle
Step-by-step explanation:
step 1
Find the measure of side AC
In the right triangle of the left
----> by SOH (opposite side divided by the hypotenuse)
step 2
Find the measure of angle B
Applying the law of sines
substitute the given values
step 3
Find the measure of angle C
Remember that the sum of the interior angles of a triangle must be equal to 180 degrees
so
step 4
Find the measure of side AB
Applying the law of sines
substitute the given values
Each measure of the ABC triangle can only have one value, therefore only one triangle can be make with the given measures