Question

Choose the correct formula to find the area of the oblique ABC shown below. Select all that apply. Select all true statements.

Answer 1

The area of a triangle by definition is:
 A = (1/2) * (b) * (h)
 Where,
 b: base
 h: height
 For the case of oblique triangles we must find the height:
 There are two ways to find them:
 h = c * sine (B)
 h = b * sine (C)
 Substituting we have:
 A = (1/2) * (a) * (c * sine (B))
 A = (1/2) * (a) * (b * sine (C))
 Answer:
 Two ways to write the area are:
 A = (1/2) * (a) * (c * sine (B))
 A = (1/2) * (a) * (b * sine (C))
 Note: These results are not among the options. It was probably a mistake writing the question.