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If the length of each side of a regular hexagon PQRSTU IS 4 CM AND M IS THE MIDPOINT OF RS THEN WHAT IS THE LENGTH IN CENTIMETRE OF PM?
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If the length of each side of a regular hexagon PQRSTU IS 4 CM AND M I...
Given Information:
- Length of each side of regular hexagon PQRSTU is 4 cm
- M is the midpoint of RS
Calculating PM:
To find the length of PM, we need to first calculate the length of RS and then find the length of PM using the midpoint theorem.
Finding RS:
Since PQRSTU is a regular hexagon, all its sides are equal. Therefore, the length of RS is equal to the length of PQ, which is 4 cm.
Using Midpoint Theorem:
The midpoint theorem states that the line segment joining the midpoints of two sides of a triangle is parallel to the third side and half of its length.
Therefore, PM is parallel to QT and half of its length. Since QT is a side of the regular hexagon, its length is 4 cm. Hence, the length of PM is half of 4 cm, which is 2 cm.
Therefore, the length of PM is 2 cm.
- Length of each side of regular hexagon PQRSTU is 4 cm
- M is the midpoint of RS
Calculating PM:
To find the length of PM, we need to first calculate the length of RS and then find the length of PM using the midpoint theorem.
Finding RS:
Since PQRSTU is a regular hexagon, all its sides are equal. Therefore, the length of RS is equal to the length of PQ, which is 4 cm.
Using Midpoint Theorem:
The midpoint theorem states that the line segment joining the midpoints of two sides of a triangle is parallel to the third side and half of its length.
Therefore, PM is parallel to QT and half of its length. Since QT is a side of the regular hexagon, its length is 4 cm. Hence, the length of PM is half of 4 cm, which is 2 cm.
Therefore, the length of PM is 2 cm.
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If the length of each side of a regular hexagon PQRSTU IS 4 CM AND M IS THE MIDPOINT OF RS THEN WHAT IS THE LENGTH IN CENTIMETRE OF PM?
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If the length of each side of a regular hexagon PQRSTU IS 4 CM AND M IS THE MIDPOINT OF RS THEN WHAT IS THE LENGTH IN CENTIMETRE OF PM? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about If the length of each side of a regular hexagon PQRSTU IS 4 CM AND M IS THE MIDPOINT OF RS THEN WHAT IS THE LENGTH IN CENTIMETRE OF PM? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the length of each side of a regular hexagon PQRSTU IS 4 CM AND M IS THE MIDPOINT OF RS THEN WHAT IS THE LENGTH IN CENTIMETRE OF PM?.
If the length of each side of a regular hexagon PQRSTU IS 4 CM AND M IS THE MIDPOINT OF RS THEN WHAT IS THE LENGTH IN CENTIMETRE OF PM? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about If the length of each side of a regular hexagon PQRSTU IS 4 CM AND M IS THE MIDPOINT OF RS THEN WHAT IS THE LENGTH IN CENTIMETRE OF PM? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the length of each side of a regular hexagon PQRSTU IS 4 CM AND M IS THE MIDPOINT OF RS THEN WHAT IS THE LENGTH IN CENTIMETRE OF PM?.
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