The height of a triangle is four times the length of the base. What is the base and height of the triangle if the area is 18 square inches?

1 Answer
Özgür Özer
Dec 19, 2015

#color(white)(xx)a=3# and #h=12#

Explanation:

Let height be h, base be a, and area be A:

#color(white)(xx)h=4a#

#color(white)(xx)(ah)/2=A# #color(white)(xxxxxxxxxxxxx)#(area formula)
#=>color(red)(4a^2)/2=color(red)18#
#=>color(red)(1/2xx)(4a^2)/2=color(red)(1/2xx)18#

Take the squareroot of both sides:
#=>sqrt(a^2)=sqrt9#
#=>a=3#

#color(white)(xx)h=4xx3#
#color(white)(xxx)=12#

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