Prakash Tiwari and Ishita Joshi Solutions for Chapter: Constructions, Exercise 3: Let's Practice

Check whether the following triangle can be constructed or not. If yes, construct else justify.

Triangle with sides $7 \mathrm{cm}, 15 \mathrm{cm} \mathrm{and} 17 \mathrm{cm}$ a right-angled triangle.

Check whether the following triangle can be constructed or not. If yes, construct else justify.

Triangle with sides $4 \mathrm{cm}, 7 \mathrm{cm} \mathrm{and} 3 \mathrm{cm}$ a scalene triangle.

Check whether the following triangle can be constructed or not. If yes, construct else justify.

$∆\mathrm{GHI}$ in which $\mathrm{GH}=4.7 \mathrm{cm}, \angle \mathrm{GHI}=65° \mathrm{and} \mathrm{GI}=7 \mathrm{cm}$ be constructed.

Check whether the following triangle can be constructed or not. If yes, construct else justify.

$∆\mathrm{XYZ}$ in which $\mathrm{XY}=\mathrm{YZ}=3 \mathrm{cm} \mathrm{and} \mathrm{XZ}=8 \mathrm{cm}$ be constructed.

Construct two triangles having the same perimeter $20 \mathrm{cm}$. Measure the angles of each of them.

Construct a $∆ABC$ such that $\mathrm{AB}=6 \mathrm{cm}, \mathrm{BC}=7 \mathrm{cm} \mathrm{and} \mathrm{AC}=11 \mathrm{cm}$. Measure each angle of the triangle. What do you think is the connection between the lengths of the sides arranged in ascending order and the angles of the triangle arranged in the same way?

Construct a right triangle having one side as $10 \mathrm{cm}$ and the hypotenuse as $26 \mathrm{cm}$. Measure the third side.

Construct an isosceles right triangle where the equal sides measure $8 \mathrm{cm}$. Also, measure the length of the hypotenuse?