The area of the triangle shown is represented by A=s(s-14) (s-12) (s-6), where s is equal to half the perimeter. What is the height h of the triangle? Round your answer to the nearest hundredth

Respuesta :

The area of the triangle with side 14, 12 and 6 unit is 35.78 unit²

How to get area?

The area of a triangle with sides a, b, c is given by:

[tex]A=\sqrt{s(s-a)(s-b)(s-c)} \\\\s=\frac{a+b+c}{2} \\\\Since:\\\\A=\sqrt{s(s-14)(s-12)(s-6)} \\\\s=\frac{14+12+6}{2}=16\\ \\A=\sqrt{16(16-14)(16-12)(16-6)} \\\\A=35.78\ unit[/tex]

The area of the triangle with side 14, 12 and 6 unit is 35.78 unit²

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