Question

Two sides of a triangle measure 6 and 8, and the measure of the included angle is 150 degrees. What is the area of the triangle

Answer 1

The area of the triangle is
`12\ units^(2)`

Explanation:

we know that

The formula to calculate the area of a triangle by the Side-Angle-Side (SAS) Method is equal to

`A=(1)/(2) (a)(b)sin(C)`

we have

`a=6\ units`

`b=8\ units`

`C=150\°`

substitute in the formula

`A=(1)/(2) (6)(8)sin(150\°)=12\ units^(2)`