My right sided triangle has 4x on the base, 2x to the left and 3x+4 what is the perimeter of the triangle and it must be greater than or equal to 85 inches?

1 Answer
Mar 1, 2018

The perimeter of this triangle is #85# inches

Explanation:

So the first step is to put them all into one equation (we first are finding #x#): #4x+2x+3x+4>=85#

Then you combine like terms and end up with:
#9x+4>=85#

Then subtract the #4# on both sides, they cross out on the left, and you are left with: #9x>=81#

Next, divide the #9# to get #x=9#

Since you found the #x#, you can plug them back into the
individual equations, to find the length of all the sides.

So the base would be #36# in. because you multiply the #4# by #x# (which is #9#)

So to the left you get #18# in. because #2# by #9# is #18#

Then the last side is #31# in. because #3# multiplied by #9# is #27#, plus #4# is #31#

The final step is to add ALL the sides together:
So we have #36+31+18=85#

So the final answer is #85# inches