O P Malhotra, S K Gupta and, Anubhuti Gangal Solutions for Chapter: Triangles, Exercise 4: Exercise

Construct a triangle $\mathrm{P}\mathrm{Q}\mathrm{R}$ such that $\mathrm{P}\mathrm{Q}=\mathrm{P}\mathrm{R}=3 \mathrm{c}\mathrm{m}$ and $\mathrm{\angle }\mathrm{P}=\mathrm{}120°.$ Measure $\angle \mathrm{Q}$ and $\angle \mathrm{R}.$ Name the type of triangle $\mathrm{P}\mathrm{Q}\mathrm{R}.$

Construct an isosceles $△\mathrm{A}\mathrm{B}\mathrm{C}$ with base $\mathrm{B}\mathrm{C}=4.5 \mathrm{c}\mathrm{m}$ and one of the base angles $={65}^{\mathrm{o}}.$

Construct a right angled triangle $\mathrm{P}\mathrm{Q}\mathrm{R}$ right angled at $\mathrm{Q}\mathrm{}$ with $\mathrm{P}\mathrm{Q}=6 \mathrm{c}\mathrm{m}$ and $\mathrm{QR}=6.5 \mathrm{c}\mathrm{m}$.

Draw $△\mathrm{P}\mathrm{Q}\mathrm{R}$ in which $\mathrm{\angle }\mathrm{Q}=80°, \angle \mathrm{R}=55°$ and $\mathrm{QR}=4.5 \mathrm{c}\mathrm{m}.$ Draw the perpendicular bisector of side $\mathrm{QR}$.

Construct an isosceles right triangle with the equal sides of length $5 \mathrm{c}\mathrm{m}$ each.

Draw a $△\mathrm{A}\mathrm{B}\mathrm{C}$ in which $\mathrm{B}\mathrm{C}=5.2 \mathrm{c}\mathrm{m}, \mathrm{\angle }\mathrm{B}=100°$ and $\mathrm{}\mathrm{\angle }\mathrm{A}=60°.$ Draw the perpendicular from $\mathrm{B}\mathrm{}$ to $\mathrm{}\mathrm{A}\mathrm{C}.$

Construct a right-angled $△\mathrm{A}\mathrm{B}\mathrm{C}$, right angled at $\mathrm{B}$, when $\mathrm{A}\mathrm{C}=10 \mathrm{c}\mathrm{m},$ $\mathrm{A}\mathrm{B}=8 \mathrm{c}\mathrm{m}$.

Construct a $△\mathrm{A}\mathrm{B}\mathrm{C}$ with $\mathrm{B}\mathrm{C}=5.5 \mathrm{c}\mathrm{m}$, $\mathrm{\angle }\mathrm{A}=60°, \mathrm{\angle }\mathrm{B}=45°.$