If APOR is an equilateral triangle, PQ = 18x + 1, QR = 24x – 17, and PR = 15x + 10, find x and
1 answer:
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
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.
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The length of the diagonal of the rectangle will be 14.142 units.
<h3>What exactly is a rectangle?</h3>
It has four sides and is a polygon. The internal angle total is 360 degrees. The opposing sides of a rectangle are parallel and equal, and each angle is 90 degrees.
Rectangle diagonals are equally equal and meet at the midpoint.
O is the circle's center, MNOP is its rectangle, and the circle's area is 100 in the diagram to the left.
Area of circle=πr²
100 π= πr²
r= 10 units
The length of the rectangle is equal to the radius of the circle is 10 units. The length of the diagonal is √2 times the side of the rectangle;
L=√2 R
L=1.414×10
L=14.14
Hence the length of the diagonal of the rectangle will be 14.142 units.
To learn more about the rectangle, refer to the link brainly.com/question/13747846.
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