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