Triangle qrs is an equilateral triangle. if qr is seventeen more than twice x, rs is 19 less than six times x, and qs is one less four times x, find x and measure of each side.

Value of x is 9 and measure of each side is 35 units.

SOLUTION:

Given, Triangle QRS is an equilateral triangle.  

QR is seventeen more than twice x,

RS is 19 less than six times x,

And QS is one less four times x,

We have to find x and measure of each side.

Now, we know that, sides of equilateral triangle are equal,  

Then

So, value of x is 9.

Hence, value of x is 9 and measure of each side is 35.

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

eventually after a few more steps, your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x