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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Based on the image, FJH is perpendicular to JI as these two lines form a right angle.
<h3>What is a perpendicular line?</h3>This name is given to a line that creates a right angle when it intersects or meets with another line.
This concept opposes the concept of parallel line, which is used to describe lines that never intersect and are always the same distance apart.
<h3>How do you identify a perpendicular line?</h3>- Look for a right angle or a a 90° angles.
- Identify the lines that intersect to create this angle.
- Write down the two lines or line sections.
Based on the above, in the image given two lines that can be classified as perpendicular are the lines FJH (horizontal lines) and JI (vertical line) as their intersection creates a right angle.
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