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The diagonals of rhombus measure 16 cm and 30 cm. Find its perimeter. step by step explanation.?
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The diagonals of rhombus measure 16 cm and 30 cm. Find its perimeter. ...
Given:
Diagonals of the rhombus measure 16 cm and 30 cm.
To Find:
Perimeter of the rhombus.
Solution:
Step 1: Finding the Side Length
Let the diagonals of the rhombus be AC = 16 cm and BD = 30 cm.
The diagonals of a rhombus bisect each other at right angles.
Let the point of intersection of the diagonals be O.
In triangle AOB, using Pythagoras theorem:
AB² = AO² + BO²
AB² = (1/2 * AC)² + (1/2 * BD)²
AB² = (1/2 * 16)² + (1/2 * 30)²
AB² = 64 + 225
AB² = 289
AB = √289
AB = 17 cm
Step 2: Calculating Perimeter
The perimeter of a rhombus is 4 times the length of one of its sides.
Perimeter = 4 * AB
Perimeter = 4 * 17
Perimeter = 68 cm
Final Answer:
The perimeter of the rhombus is 68 cm.
Diagonals of the rhombus measure 16 cm and 30 cm.
To Find:
Perimeter of the rhombus.
Solution:
Step 1: Finding the Side Length
Let the diagonals of the rhombus be AC = 16 cm and BD = 30 cm.
The diagonals of a rhombus bisect each other at right angles.
Let the point of intersection of the diagonals be O.
In triangle AOB, using Pythagoras theorem:
AB² = AO² + BO²
AB² = (1/2 * AC)² + (1/2 * BD)²
AB² = (1/2 * 16)² + (1/2 * 30)²
AB² = 64 + 225
AB² = 289
AB = √289
AB = 17 cm
Step 2: Calculating Perimeter
The perimeter of a rhombus is 4 times the length of one of its sides.
Perimeter = 4 * AB
Perimeter = 4 * 17
Perimeter = 68 cm
Final Answer:
The perimeter of the rhombus is 68 cm.
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The diagonals of rhombus measure 16 cm and 30 cm. Find its perimeter. step by step explanation.?
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The diagonals of rhombus measure 16 cm and 30 cm. Find its perimeter. step by step explanation.? 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 The diagonals of rhombus measure 16 cm and 30 cm. Find its perimeter. step by step explanation.? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The diagonals of rhombus measure 16 cm and 30 cm. Find its perimeter. step by step explanation.?.
The diagonals of rhombus measure 16 cm and 30 cm. Find its perimeter. step by step explanation.? 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 The diagonals of rhombus measure 16 cm and 30 cm. Find its perimeter. step by step explanation.? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The diagonals of rhombus measure 16 cm and 30 cm. Find its perimeter. step by step explanation.?.
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