JoeA1211
JoeA1211 JoeA1211
  • 25-07-2019
  • Mathematics
contestada

A little help on this math problem?

A little help on this math problem class=

Respuesta :

LammettHash
LammettHash LammettHash
  • 26-07-2019

If you know Heron's formula, this is easy.

[tex]\text{area}=\sqrt{s(s-6)(s-10)(s-14)}=15\sqrt3[/tex]

where [tex]s=\dfrac{6+10+14}2=15[/tex] is the semiperimeter of the triangle.

The area is also equal to half the product of the base and height of the triangle, which happen to be

[tex]15\sqrt3=\dfrac{14x}2\implies x=\dfrac{15\sqrt3}7\approx3.711[/tex]

so the answer is B.

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