SOLUTION: My problem is about finding the value of x wherein the given area of a triangle is 88 and the base is 11 and the height is 3x inside the radicand and -2. many thanks.

Algebra ->  Radicals -> SOLUTION: My problem is about finding the value of x wherein the given area of a triangle is 88 and the base is 11 and the height is 3x inside the radicand and -2. many thanks.      Log On


   

Question 193748: My problem is about finding the value of x wherein the given area of a triangle is 88 and the base is 11 and the height is 3x inside the radicand and -2. many thanks.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Is this the area for a triangle? If so, then...


A=%28bh%29%2F2 Start with the area of a triangle formula


88=%2811%2Asqrt%283x-2%29%29%2F2 Plug in the given values


88%282%29=11%2Asqrt%283x-2%29 Multiply both sides by 2


176=11%2Asqrt%283x-2%29 Multiply


176%2F11=sqrt%283x-2%29 Divide both sides by 11


16=sqrt%283x-2%29 Divide


16%5E2=3x-2 Square both sides


256=3x-2 Square 16 to get 256


256%2B2=3x Add 2 to both sides


258=3x Add


258%2F3=x Divide both sides by 3


86=x Reduce


So the solution is x=86