Vistor Chow wal keung | RC Yadav Solutions for Chapter: Constructions, Exercise 2: EXERCISE

Determine if the given measurements are sufficient to draw a unique triangle: $∆\mathrm{ABC}$ with $\mathrm{AB}=5 \mathrm{cm}, \mathrm{BC}=3 \mathrm{cm} \mathrm{and} \mathrm{AC}=5 \mathrm{cm}$.

Determine if the given measurements are sufficient to draw a unique triangle: $△\mathrm{DEF}$ with $\mathrm{DE}=4 \mathrm{cm}, \mathrm{EF}=4 \mathrm{cm} \mathrm{and} \mathrm{DF}=4 \mathrm{cm}$ and $\mathrm{MN}=6 \mathrm{cm}$ 

Construct $△\mathrm{XYZ}$ in which $\mathrm{YZ}=2.5 \mathrm{cm}, \mathrm{XZ}=6.5 \mathrm{cm}$ and $\angle \mathrm{XYZ}=90°$.Find the length of $\mathrm{XY}$ and classify $△\mathrm{XYZ}$ by its sides.

Construct $△\mathrm{ABC}$ in which $\mathrm{AB}=4 \mathrm{cm}, \mathrm{AC}=4 \mathrm{cm}$ and $\angle \mathrm{ABC}=30°$. Write the measure of $\angle \mathrm{BAC}$ and $\angle \mathrm{ACB}$, also classify $△\mathrm{ABC}$ by its sides.

Construct $△\mathrm{RST}$ in which $\mathrm{RS}=4 \mathrm{cm}, \angle \mathrm{RST}=55°$ and $\angle \mathrm{TRS}=70°$. Write the measure of $\angle \mathrm{RTS}$, also classify $△\mathrm{RST}$ by its angles.

Construct a right-angled $△\mathrm{PQR}$, where $\mathrm{PR}=9.3 \mathrm{cm}, \mathrm{QR}=7.2 \mathrm{cm}$ and $\angle \mathrm{Q}=90°$.

Construct an isosceles right-angled $△\mathrm{ABC}$, where $\angle \mathrm{ACB}=90°$ and $\mathrm{AC}=6.3 \mathrm{cm}$.

Construct a right-angled triangle whose hypotenuse is $6.3 \mathrm{cm}$ and one of the legs is $3.6 \mathrm{cm}$ long.