Question

Which triangle’s area can be calculated using the trigonometric area formula?

Answer 1

right triangle

The following trigonometric formula is used to find the triangle's area:

A = --- (1)

Where A = Area

b = Base

h = Height

If the base and the height of a triangle is given, you can use equation (1) to find the area of a triangle.

Note: Height is actually the perpendicular line to the base.

Answer 2

we can find the area of any triangle using trignometric area formula

Explanation:

Let A,B,C be three vertices of a triangle.

then the area of traingle could be given as Area=
`(1)/(2)`×a×h

=
`(1)/(2)`×a×b×SinC

as SinC=
`(h)/(b)`

hence The area of a triangle could be expressed using the length of the two sides and the sine of the included angle.

this is referred to as SAS formula for the are a of a triangle.