Respuesta :

frika

Answer:

D

Step-by-step explanation:

The area of the triangle can be calculated using formula

[tex]A=\sqrt{p(p-a)(p-b)(p-c)},[/tex]

where p is half of the perimeter.

1. If a=4, b=6 and c=8, then

[tex]p=\dfrac{a+b+c}{2}=\dfrac{4+6+8}{2}=9\ un.[/tex]

2. The area is

[tex]A=\sqrt{9\cdot (9-4)(9-6)(9-8)}=\sqrt{9\cdot 5\cdot 3\cdot 1}=3\sqrt{15}\approx 11.6\ un^2.[/tex]

zainebamir540

Answer:

Choice D is correct.

Step-by-step explanation:

We have given the sides of triangle:

a =4, b=6, and c =8.

We have to find the area of a triangle.

The formula for the area of triangle is given by:

[tex]A=\sqrt{p(p-a)(p-b)(p-c)}[/tex]

We have to find the valye of p:

[tex]p=\frac{a+b+c}{2}[/tex]

[tex]p=\frac{4+6+8}{2}[/tex]

p= 9 units

[tex]A= \sqrt{9(9-4)(9-6)(9-8)}[/tex]

[tex]A= \sqrt{9.5.3.1} =3\sqrt{15}[/tex]

A ≈ 11 .6 units² is the area of triangle.

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