Jharne De and Ranjana Kumar Solutions for Chapter: Constructions, Exercise 2: EXERCISE 14.1

Draw a line segment $PQ=5\mathrm{cm}$. Take a point $B above PQ$. Construct a line parallel to $PQ$ passing through point $B$. Find the distance between the parallel lines.

Construct a triangle $ABC$in which $AB=5\mathrm{cm}, BC=6\mathrm{cm}, CA=8\mathrm{cm}$.

Construct the following triangle:
$\mathrm{\Delta }ABC; BC=6\mathrm{cm},\mathrm{\angle }C=60°,$ and $CA=4\mathrm{cm}$.

Construct the following triangle:
$\mathrm{\Delta }XYZ;YZ=9\mathrm{cm},XY=9\mathrm{cm}$, and $\mathrm{\angle }Y=50°$.

Construct the following triangle:
$\mathrm{\Delta }PQR;PQ=QR=8\mathrm{cm},$ and $\mathrm{\angle }Q=90°$.

Construct a right angled triangle with hypotenuse $10\mathrm{cm}$, and the other two sides measuring $8\mathrm{cm} \mathrm{and} 6\mathrm{cm}$. Measure other two angles of the triangle.

Construct a $\mathrm{\Delta }ABC$ in which $AB=BC=CA=7\mathrm{cm}.$ Write the measure of the angles.

Construct a $\mathrm{\Delta }ABC$ in which $AB=AC=6cm,\angle B=70°,\angle C=70°.$ Measure angle A.