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PQRS is a parallelogram. QM is the hight from Q to SR and QN is the hight from Q to PS. If SR=12cm and QM=7.6 cm. Find: (I know it is difficult but it is important )?
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PQRS is a parallelogram. QM is the hight from Q to SR and QN is the hi...
Given:
- PQRS is a parallelogram.
- QM is the height from Q to SR.
- QN is the height from Q to PS.
- SR = 12 cm.
- QM = 7.6 cm.
To find:
- The length of QN.
Explanation:
Step 1: Understanding Parallelogram:
A parallelogram is a quadrilateral with opposite sides parallel. In a parallelogram, the opposite sides are equal in length, and the opposite angles are equal in measure.
Step 2: Properties of a Parallelogram:
- Opposite sides are parallel.
- Opposite sides are equal in length.
- Opposite angles are equal.
- Consecutive angles are supplementary (add up to 180 degrees).
- Diagonals bisect each other.
Step 3: Using the Properties:
Since PQRS is a parallelogram, we can use the properties to find the length of QN.
Step 4: Finding the Length of QN:
Since QM is the height from Q to SR, and QN is the height from Q to PS, QM and QN are both perpendicular to their respective bases.
In a parallelogram, the height (perpendicular distance) from a vertex to the opposite side is the same for both pairs of opposite sides.
Therefore, QM = QN.
Since QM is given as 7.6 cm, QN will also be 7.6 cm.
Step 5: Final Answer:
The length of QN is 7.6 cm.
Summary:
- PQRS is a parallelogram.
- QM is the height from Q to SR.
- QN is the height from Q to PS.
- SR = 12 cm.
- QM = 7.6 cm.
- Since QM is the height from Q to SR and QN is the height from Q to PS, QM and QN are both perpendicular to their respective bases.
- In a parallelogram, the height from a vertex to the opposite side is the same for both pairs of opposite sides.
- Therefore, QM = QN.
- The length of QN is 7.6 cm.
- PQRS is a parallelogram.
- QM is the height from Q to SR.
- QN is the height from Q to PS.
- SR = 12 cm.
- QM = 7.6 cm.
To find:
- The length of QN.
Explanation:
Step 1: Understanding Parallelogram:
A parallelogram is a quadrilateral with opposite sides parallel. In a parallelogram, the opposite sides are equal in length, and the opposite angles are equal in measure.
Step 2: Properties of a Parallelogram:
- Opposite sides are parallel.
- Opposite sides are equal in length.
- Opposite angles are equal.
- Consecutive angles are supplementary (add up to 180 degrees).
- Diagonals bisect each other.
Step 3: Using the Properties:
Since PQRS is a parallelogram, we can use the properties to find the length of QN.
Step 4: Finding the Length of QN:
Since QM is the height from Q to SR, and QN is the height from Q to PS, QM and QN are both perpendicular to their respective bases.
In a parallelogram, the height (perpendicular distance) from a vertex to the opposite side is the same for both pairs of opposite sides.
Therefore, QM = QN.
Since QM is given as 7.6 cm, QN will also be 7.6 cm.
Step 5: Final Answer:
The length of QN is 7.6 cm.
Summary:
- PQRS is a parallelogram.
- QM is the height from Q to SR.
- QN is the height from Q to PS.
- SR = 12 cm.
- QM = 7.6 cm.
- Since QM is the height from Q to SR and QN is the height from Q to PS, QM and QN are both perpendicular to their respective bases.
- In a parallelogram, the height from a vertex to the opposite side is the same for both pairs of opposite sides.
- Therefore, QM = QN.
- The length of QN is 7.6 cm.
Community Answer
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PQRS is a parallelogram. QM is the hight from Q to SR and QN is the hight from Q to PS. If SR=12cm and QM=7.6 cm. Find: (I know it is difficult but it is important )?
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PQRS is a parallelogram. QM is the hight from Q to SR and QN is the hight from Q to PS. If SR=12cm and QM=7.6 cm. Find: (I know it is difficult but it is important )? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about PQRS is a parallelogram. QM is the hight from Q to SR and QN is the hight from Q to PS. If SR=12cm and QM=7.6 cm. Find: (I know it is difficult but it is important )? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for PQRS is a parallelogram. QM is the hight from Q to SR and QN is the hight from Q to PS. If SR=12cm and QM=7.6 cm. Find: (I know it is difficult but it is important )?.
PQRS is a parallelogram. QM is the hight from Q to SR and QN is the hight from Q to PS. If SR=12cm and QM=7.6 cm. Find: (I know it is difficult but it is important )? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about PQRS is a parallelogram. QM is the hight from Q to SR and QN is the hight from Q to PS. If SR=12cm and QM=7.6 cm. Find: (I know it is difficult but it is important )? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for PQRS is a parallelogram. QM is the hight from Q to SR and QN is the hight from Q to PS. If SR=12cm and QM=7.6 cm. Find: (I know it is difficult but it is important )?.
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