Construction of a Rhombus When One Diagonal and One Angle Are Given

Q. Construct a rhombus FARM with FR = 7 cm and
∠ F= 80° . Also find its area.

Q. Construct a rhombus $ABCD$ with $AC=7cm$ and $m\angle BAD={120}^{\circ }$. Then the length of the side of the rhombus is:

1. $4cm$
2. $7cm$
3. $10cm$
4. $14cm$

Q. You are given the length of a diagonal of a rhombus and one of the angles of the rhombus. Which property of the rhombus will be used in the construction of this rhombus?

1. The lengths of the sides of a rhombus are equal.
2. The angles of a rhombus are ${90}^{\circ }$
3. Diagonal of a rhombus bisects the opposite angles.
4. Diagonals of a rhombus are perpendicular bisectors of each other.

Q. Construct a rhombus $ABCD$ with $AC=7.5cm$ and $\angle A={100}^{\circ }$. Find its area

Q. Construct a rhombus whose one diagonal is of length $8cm$ and the angle made by the sides at the end points of this diagonal is ${60}^{\circ }$. The length of the other diagonal is:

1. $6.9cm$
2. $4.6cm$
3. $13.8cm$
4. $2.3cm$