Construct a rhombus whose side is 5 cm and one angle is of 60°.
Solution:
Given, a rhombus has side 5 cm and one angle is 60°
We have to construct a rhombus.
Consider a rhombus ABCD,
We know that the sum of co interior angles is 180 degrees.
So, ∠A + ∠B = 180°
∠A + 60° = 180°
∠A = 180° - 60°
∠A = 120°
We know that all sides of a rhombus are equal.
So, AB = BC = CD = DA = 5 cm.
To construct a rhombus ABCD,
1. Draw a line segment AB = 5 cm
2. Draw a ray AY such that ∠BAY = 120°
3. Mark a point D such that AD = 5 cm
4. Draw a ray BX such that ∠ABX = 60°
5. Join CD.
Therefore, ABCD is a required rhombus.
✦ Try This: Construct a rhombus whose side is 6 cm and one angle is of 70°.
☛ Also Check: NCERT Solutions for Class 8 Maths
NCERT Exemplar Class 8 Maths Chapter 5 Problem 188
Construct a rhombus whose side is 5 cm and one angle is of 60°.
Summary:
A rhombus whose side is 5 cm and one angle is of 60° is constructed above.
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