Construct a rectangle whose one side is 3 cm and a diagonal equal to 5 cm.
Solution:
Given, a rectangle with one side 3 cm and a diagonal equal to 5 cm.
We have to construct a rectangle.
Consider a rectangle ABCD,
AB = 3 cm
The diagonal AC = 5 cm
Properties of rectangle are
- Opposite sides are equal.
- Diagonals are equal.
- Each angle is equal to 90 degrees.
To construct a rectangle ABCD,
1. Draw a line segment AB = 3 cm
2. Draw a ray BX such that ∠ABX = 60°
3. Draw an arc such that AC = 5 cm
4. With B as centre and 5 cm radius, draw an arc.
5. With C as centre and 3 cm radius, draw another arc which intersects the first arc at a point D.
6. Join CD and AD.
Therefore, ABCD is a required rectangle.
✦ Try This: Construct a rectangle whose one side is 5 cm and a diagonal equal to 8 cm.
☛ Also Check: NCERT Solutions for Class 8 Maths
NCERT Exemplar Class 8 Maths Chapter 5 Problem 189
Construct a rectangle whose one side is 3 cm and a diagonal equal to 5 cm.
Summary:
A rectangle whose one side is 3 cm and a diagonal equal to 5 cm is constructed above.
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