Answer:
The value of x is 3 and measure of each side is 55.
Step-by-step explanation:
Consider the provided information.
If ΔPOR is an equilateral triangle,
PQ = 18x + 1, QR = 24x – 17, and PR = 15x + 10,
A triangle is said to be equilateral if all the sides are equal.
Therefore, PQ = QR = PR
[tex]PQ = QR \\18x + 1,=24x-17\\6x=18\\x=3[/tex]
Therefore, the value of x is 3.
PQ = 18x + 1
PQ = 18(3) + 1
PQ = 55
As we know PQ = QR = PR
Thus QR = 55 and PR = 55
The value of x is 3 and measure of each side is 55.
