Question

Find the area of a triangle with a =4, b =6, and c =8.

Answer 1

D

Explanation:

The area of the triangle can be calculated using formula

`A=√(p(p-a)(p-b)(p-c)),`

where p is half of the perimeter.

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

`p=(a+b+c)/(2)=(4+6+8)/(2)=9\ un.`

2. The area is

`A=√(9\cdot (9-4)(9-6)(9-8))=√(9\cdot 5\cdot 3\cdot 1)=3√(15)\approx 11.6\ un^2.`

Answer 2

Choice D is correct.

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:

`A=√(p(p-a)(p-b)(p-c))`

We have to find the valye of p:

`p=(a+b+c)/(2)`

`p=(4+6+8)/(2)`

p= 9 units

`A= √(9(9-4)(9-6)(9-8))`

`A= √(9.5.3.1) =3√(15)`

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