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?

1 Answer
May 17, 2018

the answer is #x=10#

Explanation:

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#