NCERT Class 7 Mathematics Solutions: Chapter 6 –The Triangle and its Properties Exercise 6.5 Part 4

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Understanding of Pythagoras theorem

Understanding of Pythagoras Theorem

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1. Find the perimeter of the rectangle whose length is and a diagonal is .

Answer:

The Rectangle PQRS

Given,

Diagonal, length

Consider,

Now, [By Pythagoras theorem]

So, the breadth of the rectangle is .

Perimeter of rectangle

So, the perimeter of the rectangle is 98 cm.

2. The diagonals of a rhombus measure . Find its perimeter.

Answer:

Given,

Diagonals

The diagonals of the rhombus bisect at right angle to each other.

ABCD is Rhombus

So,

Now,

In right angle triangle DOC,

[Pythagoras theorem]

Perimeter of rhombus

So, the perimeter of rhombus is .