jamietorres1932 jamietorres1932
  • 11-08-2018
  • Mathematics
contestada

The altitude of a triangle is 6 cm greater than its base .if its area is 108 cm ,find its base

Respuesta :

mkryukova19 mkryukova19
  • 11-08-2018

Area of the triangle = (1/2)*base*height

base = x

height = altitude = x+6

Area of the triangle = (1/2)*x*(x+6) = 108

(1/2)*x*(x+6) = 108

x²+6x-216 =0

(x+18)(x-12)=0

x=-18, or x=12

We can use only positive value, so x=12.

Base =12 cm.


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