Triangle qrs is an equilateral triangle if qr is 7 less than twice x rs is 61 less than 5 times x and qs is 11 more than x find x and the measure of each side

QR=RS=QS=29    

Step-by-step explanation:

Given QRS is an equilateral triangle, thus all the three sides of the given triangle will be equal.

Also, from the given statement, we have

QR=2x-7, RS=5x-61 and QS=11+X

Now, As all the sides of the triangle are equal, therefore

QR=RS=QS

⇒QR=RS

⇒2x-7=5x-61

⇒-7+61=5x-2x

⇒54=3x

⇒x=18

Thus, the measure of QR=2(18)-7=29,RS=5(18)-61=29 and QS=11+18=29.

is there a question here?

step-by-step explanation: