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

Question

asked Nov 1, 2020 7.8k views

1 Answer

Nur Zazin · Answer 1 · 2020-11-05T21:37:29+0000

Answer:

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

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