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