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find the area and perimeter of a scalene triangle with the sides 4 meters, 6 meters and 8 meters

Sagot :

The side of the scalene triangle is a=4 m, b= 6m and c= 8 m.

Determine the perimeter of the triangle by sum of sides.

[tex]\begin{gathered} P=4+6+8 \\ =18 \end{gathered}[/tex]

So perimeter of trainagle is 18 m.

The formula for the area of traingle is,

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

Here the formula for semi-perimeter (s) is,

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

Determine the semi perimeter for the triangle.

[tex]\begin{gathered} s=\frac{4+6+8}{2} \\ =\frac{18}{2} \\ =9 \end{gathered}[/tex]

Substitute the value in the formula to obtain the area of triangle.

[tex]\begin{gathered} A=\sqrt[]{9(9-4)(9-6)(9-8)} \\ =\sqrt[]{9\cdot5\cdot3\cdot1} \\ =\sqrt[]{135} \\ =11.62 \end{gathered}[/tex]

So area of triangle is 11.62 meter square.

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