R. D. Sharma Solutions for Chapter: Practical Geometry (Constructions), Exercise 1: EXERCISE

Construct a quadrilateral $\mathrm{ABCD}$ in which $\mathrm{AB}=4.4\mathrm{cm},\mathrm{BC}=4\mathrm{cm},\mathrm{CD}=6.4\mathrm{cm},\mathrm{DA}=3.8\mathrm{cm} \mathrm{and} \mathrm{BD}=6.6\mathrm{cm}$.

Construct a quadrilateral $ABCD$ such that $AB=BC=5.5\mathrm{cm}, CD=4\mathrm{cm}, DA=6.3\mathrm{cm}$ and $AC=9.4\mathrm{cm}$.

Construct a quadrilateral $XYZW$ in which $XY=5\mathrm{cm}, YZ=6 \mathrm{cm}, ZW=7 \mathrm{cm}, WX=3 \mathrm{cm}, XZ=9 \mathrm{cm}$.

Construct a parallelogram $\mathrm{PQRS}$ such that $\mathrm{PQ}=5.2\mathrm{cm}, \mathrm{PR}=6.8\mathrm{cm} \mathrm{and} \mathrm{QS}=8.2\mathrm{cm}$

Construct a rhombus with side $6 \mathrm{cm}$ and one diagonal $8 \mathrm{cm}$. Measure the other diagonal.

Construct a kite $ABCD$ in which $AB=4 \mathrm{cm}, BC=4.9 \mathrm{cm}, AC=7.2 \mathrm{cm}$.

Construct, if possible, a quadrilateral $ABCD$ given $AB=6 \mathrm{cm}, BC=3.7 \mathrm{cm}, CD=5.7 \mathrm{cm}, AD=5.5 \mathrm{cm}$ and $\mathrm{BD}=6.1 \mathrm{cm}$. Give reasons for not being able to construct it, if you cannot.

Construct, if possible, a quadrilateral $ABCD$ in which $AB\mathit{=}\mathit{6}\mathrm{cm}\mathit{,}\mathit{ }BC\mathit{=}\mathit{7}\mathrm{cm}\mathit{,}\mathit{ }CD\mathit{=}\mathit{3}\mathrm{cm}\mathit{,}\mathit{ }AD\mathit{=}\mathit{5}\mathit{.5}\mathrm{cm}$ and $AC=11\mathrm{cm}$. Give reasons for not being able to construct, if you cannot (Not possible, because in a triangle $ACD,AD+CD<AC$.