Question

select the correct answer. which expression correctly represents the area of triangle efg? a. 1/2ef sin(g) b. 1/2gf sin(f) c. 1/2ef sin(e) d. 1/2gf sin(g)

Explanation:

Step1: Recall area formula for a triangle

The area of a triangle is $A = \frac{1}{2}ab\sin C$, where $a$ and $b$ are two - side lengths of the triangle and $C$ is the included - angle between them.
In $\triangle EFG$, if we consider sides $e$ and $f$, and the included - angle $G$ between them.

Step2: Apply the formula

The area of $\triangle EFG$ is $A=\frac{1}{2}ef\sin(G)$.

Answer:

A. $\frac{1}{2}ef\sin(G)$