Answer:
16
Step-by-step explanation:
A=(1/2)bh
A=(1/2)(df)(ea)
A=(1/2)(8)(4)
Answer:
(D) 16
Step-by-step explanation:
It is given that Segment EA is an altitude of triangle DEF. Point D(-2,1), E(2,5), F(6,1) and A(2,1).
Now, using the distance formula, we have
[tex]DF=\sqrt{(1-1)^2+(6+2)^2}[/tex]
[tex]DF=\sqrt{64}[/tex]
[tex]DF=8 units[/tex]
And [tex]EA=\sqrt{(1-5)^2+(2-2)^2}[/tex]
[tex]EA=\sqrt{16}[/tex]
[tex]EA=4 units[/tex]
Thus, the area of the triangle is=[tex]\frac{1}{2}{\times}DF{\times}SA[/tex]
=[tex]\frac{1}{2}{\times}8{\times}4[/tex]
=[tex]16 sq units[/tex]
Thus, the area of the triangle is 16 sq units.
