#1**+1 **

Solve for x:

(4 x + 1)^2 = 4 x^2 + (4 x - 1)^2

Expand out terms of the right hand side:

(4 x + 1)^2 = 20 x^2 - 8 x + 1

Subtract 20 x^2 - 8 x + 1 from both sides:

-1 + 8 x - 20 x^2 + (4 x + 1)^2 = 0

Expand out terms of the left hand side:

16 x - 4 x^2 = 0

Factor x and constant terms from the left hand side:

-4 x (x - 4) = 0

Divide both sides by -4:

x (x - 4) = 0

Split into two equations:

x - 4 = 0 or x = 0

Add 4 to both sides:

**x = 4. The sides of the triagle are: [2x4=8, 4x4 - 1 =15, 4x4 +1=17]. Perimeter =8 + 15 + 17=40 cm**

Guest Aug 11, 2020