Triangle properties

Let a, b, c be the lengths of sides BC, CA, AB respectively of a triangle ABC. If p is the perimeter and q is the area of the triangle, then what is p(p − 2a) tan(A/2) equal to?

In a triangle ABC,What is the area of the triangle if a = 6 cm?

In a triangle ABC, A= 75° and B = 45°. What is 2a – b equal to?

Direction for Questions (16-17): Consider the following for the two (02) times that follow:

 In a triangle ABC, two sides BC and CA are in the ratio 2: 1, and their opposite corresponding angles are in the ratio 3: 1.

 One of the angles of the triangle is

Direction for Questions (16-17): Consider the following for the two (02) times that follow:

In a triangle ABC, two sides BC and CA are in the ratio 2: 1, and their opposite corresponding angles are in the ratio 3: 1.

Consider the following statements:

 I. The triangle is right-angled.

 II. One of the sides of the triangle is 3 times the other.

 III. The angles A, C and B of the triangle are in AP.

Which of the statements give above is/are correct?