Construct a rhombus whose side is of length 3.4 cm and one of its angles is 45°.
Solution:
We know that, all sides are equal in a rhombus
Steps of Construction
1. Construct a line segment AB of length 3.4 cm
2. Generate 45° at the ends A and B of line segment AB and mark the parallel lines AX and BY
3. Now cut AD and SC of 3.4 cm length from AX and BY
4. Construct an angle of 45° at one of the point D or C and join both by line segments DC of 3.4 cm length which is parallel to AB
5. So ABCD is the required rhombus with a side of length 3.4 cm and 45° as one of its angles.
Therefore, a rhombus of given length and angle is constructed.
✦ Try This: Construct a rhombus whose side is of length 4.5 cm and one of its angles is 60°.
☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 11
NCERT Exemplar Class 9 Maths Exercise 11.3 Problem 8
Construct a rhombus whose side is of length 3.4 cm and one of its angles is 45°.
Summary:
A rhombus can be defined as a special parallelogramas it fulfills the requirements of a parallelogram, i.e. a quadrilateral with two pairs of parallel sides. A rhombus whose side is of length 3.4 cm and one of its angles is 45° is constructed above
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