MATH SOLVE

10 months ago

Q:
# Choose the correct formula to find the area of the oblique ABC shown below. Select all that apply. Select all true statements. Area of ABC = a x b x sin Area of ABC = a x b x sinCArea of ABC = x c x b x sinAArea of ABC = c x b x sin

Accepted Solution

A:

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.

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.