Question

If APOR is an equilateral triangle, PQ = 18x + 1, QR = 24x – 17, and PR = 15x + 10, find x and

Answer 1

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

$PQ = QR \\18x + 1,=24x-17\\6x=18\\x=3$

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.