How many triangles are there that satisfy the conditions a=13, b=6, a = 6°

1 triangle is possible

Step-by-step explanation:

If there are two sides and a non included angle is given then there could be 0,1 or 2 triangles depend on the measure of the given angle and the lengths of the given sides.

We will discuss some conditions which will clarify that how many triangles are there in the given condition.

CASE 1: If A is obtuse and a>b then there is 1 triangle.

CASE 2: If A is obtuse and a
CASE 3: If A is acute and a>b then there is 1 triangle.

CASE 4: If A is acute and h
CASE 5: If A is acute and a=h then there is 1 right angle triangle.

CASE 6: If A is acute and a
Therefore according to the given condition A = 6° which is acute and a>b, So this condition matches the CASE 3:

According to this there is 1 triangle possible ...