Class 7 Exam > Class 7 Questions > Find the perimeter of a rhombus, the lengths ...
Start Learning for Free
Find the perimeter of a rhombus, the lengths of whose diagonals are 16cm and 30cm, The diagonals bisect each other at right angles.?
Most Upvoted Answer
Find the perimeter of a rhombus, the lengths of whose diagonals are 16...
Perimeter of a Rhombus with Given Diagonals
Diagonals of the Rhombus
- The diagonals of a rhombus are the line segments that connect opposite vertices.
- In this case, the lengths of the diagonals are given as 16cm and 30cm.
Relationship between Diagonals
- The diagonals of a rhombus bisect each other at right angles, dividing the rhombus into four right triangles.
- This creates a relationship between the diagonals and the sides of the rhombus.
Using Pythagorean Theorem
- Since the diagonals bisect each other at right angles, the sides of the rhombus can be calculated using the Pythagorean theorem.
- Let the lengths of the two diagonals be 2a and 2b, then the sides of the rhombus can be calculated as √(a^2 + b^2).
Calculating the Side Lengths
- Given that the diagonals are 16cm and 30cm, we can find the side lengths as follows:
- a = 16/2 = 8cm
- b = 30/2 = 15cm
- The side lengths of the rhombus are √(8^2 + 15^2) = √(64 + 225) = √289 = 17cm
Finding the Perimeter
- The perimeter of a rhombus is given by 4 times the length of one of its sides.
- Therefore, the perimeter of the rhombus with side length 17cm is 4 * 17 = 68cm.
Conclusion
- The perimeter of the rhombus with given diagonals of 16cm and 30cm, which bisect each other at right angles, is 68cm.
Attention Class 7 Students!
To make sure you are not studying endlessly, EduRev has designed Class 7 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 7.
|
Explore Courses for Class 7 exam
|
|
Similar Class 7 Doubts
Top Courses for Class 7View all
Find the perimeter of a rhombus, the lengths of whose diagonals are 16cm and 30cm, The diagonals bisect each other at right angles.?
Question Description
Find the perimeter of a rhombus, the lengths of whose diagonals are 16cm and 30cm, The diagonals bisect each other at right angles.? 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 Find the perimeter of a rhombus, the lengths of whose diagonals are 16cm and 30cm, The diagonals bisect each other at right angles.? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the perimeter of a rhombus, the lengths of whose diagonals are 16cm and 30cm, The diagonals bisect each other at right angles.?.
Find the perimeter of a rhombus, the lengths of whose diagonals are 16cm and 30cm, The diagonals bisect each other at right angles.? 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 Find the perimeter of a rhombus, the lengths of whose diagonals are 16cm and 30cm, The diagonals bisect each other at right angles.? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the perimeter of a rhombus, the lengths of whose diagonals are 16cm and 30cm, The diagonals bisect each other at right angles.?.
Solutions for Find the perimeter of a rhombus, the lengths of whose diagonals are 16cm and 30cm, The diagonals bisect each other at right angles.? in English & in Hindi are available as part of our courses for Class 7.
Download more important topics, notes, lectures and mock test series for Class 7 Exam by signing up for free.
Here you can find the meaning of Find the perimeter of a rhombus, the lengths of whose diagonals are 16cm and 30cm, The diagonals bisect each other at right angles.? defined & explained in the simplest way possible. Besides giving the explanation of
Find the perimeter of a rhombus, the lengths of whose diagonals are 16cm and 30cm, The diagonals bisect each other at right angles.?, a detailed solution for Find the perimeter of a rhombus, the lengths of whose diagonals are 16cm and 30cm, The diagonals bisect each other at right angles.? has been provided alongside types of Find the perimeter of a rhombus, the lengths of whose diagonals are 16cm and 30cm, The diagonals bisect each other at right angles.? theory, EduRev gives you an
ample number of questions to practice Find the perimeter of a rhombus, the lengths of whose diagonals are 16cm and 30cm, The diagonals bisect each other at right angles.? tests, examples and also practice Class 7 tests.
|
|
Explore Courses for Class 7 exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup