The area of a triangle is 15 m^2. The height is 6 m, and the length of the base is #sqrt(3x-5)m. What is the value of x?

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Answer 1 · 2018-05-17T01:50:50

the answer is #x=10#

the area of triangle equal

#A=15 m^2#

the rule of triangle area is

#A=1/2*[base*high]#

since the high equal #high=6m#

the base equal #base=sqrt(3x-5)m#

#A=1/2*[base*high]#

#15=1/2*[sqrt(3x-5)*6]#

#15=3*sqrt(3x-5)#

#15/3=sqrt(3x-5)#

square both side

#225/9=3x-5#

#3x=225/9+5#

#3x=[225+45]/9#

#3x=[270]/9#

#3x=30#

#x=10#