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=10x=10

Explanation:

the area of triangle equal

A=15 m^2A=15m2

the rule of triangle area is

A=1/2*[base*high]A=12[basehigh]

since the high equal high=6mhigh=6m

the base equal base=sqrt(3x-5)mbase=3x5m

A=1/2*[base*high]A=12[basehigh]

15=1/2*[sqrt(3x-5)*6]15=12[3x56]

15=3*sqrt(3x-5)15=33x5

15/3=sqrt(3x-5)153=3x5

square both side

225/9=3x-52259=3x5

3x=225/9+53x=2259+5

3x=[225+45]/93x=225+459

3x=[270]/93x=2709

3x=303x=30

x=10x=10