Vaishali Bhatia and Rupesh Pathak Solutions for Chapter: Constructions, Exercise 6: Worksheet

Construct $AB\parallel PQ$ such that the distance between $AB \text{and} PQ$ is $3.8 \mathrm{cm}$ by using set-squares and ruler.

Construct $AB\parallel PQ$ such that the distance between $AB \text{and} PQ$ is $3.8 \mathrm{cm}$ by using compasses and ruler.

Construct $\mathrm{\Delta BAT},$in which  $\mathrm{BA}=8 \mathrm{cm},\angle \mathrm{B}=50° \text{and} \angle \mathrm{T}=80°.$

Can $∆\mathrm{ABC}$ be constructed with the following measurements. Give reasons.

 $\mathrm{AB}=6 \mathrm{c}\mathrm{m},\mathrm{BC}=7 \mathrm{c}\mathrm{m}$ and $\mathrm{CA}=5 \mathrm{c}\mathrm{m}.$ 

 Can a triangle be constructed with the following information. Give reasons.

$△\mathrm{PQR};\angle \mathrm{P}=90°; \mathrm{PQ}=8 \mathrm{cm},\angle Q=90°$

Can a triangle with the following information be constructed? Give reasons.

$△\mathrm{XYZ};\mathrm{YZ}=5 \mathrm{cm},\angle \mathrm{Y}=30°,\mathrm{XZ}=4 \mathrm{cm}$

Angle formed between two parallel lines is $180°$.

Construct a $\mathrm{\Delta }\mathrm{A}\mathrm{B}\mathrm{C}$ with $\mathrm{A}\mathrm{B}=\mathrm{AC}=4.9 \mathrm{c}\mathrm{m}$ and $\mathrm{BC}=5.5 \mathrm{c}\mathrm{m}$. Measure $\mathrm{\angle }\mathrm{B}$ and $\angle C$. What type of triangle is this?