Telangana Board Solutions for Chapter: Construction of Triangles, Exercise 1: Try This

Construct a triangle with the same measurements given in the above example, taking $PQ$ as the base. Are the triangles congruent?

Construct a $∆PET, PE=4.5 \mathrm{cm}, ET=5.4 \mathrm{cm}$ and $TP=6.5 \mathrm{cm}$ in your notebook. Now construct $ABC, AB=5.4 \mathrm{cm}, BC=4.5 \mathrm{cm}$ and $CA=6.5 \mathrm{cm}$ on a piece of paper. Cut it out and place it on the figure you have constructed in your notebook. Are the triangles congruent? Write your answer using mathematical notation.

Construct $∆ABC$ in which $AB=5.5 \mathrm{cm}$, $BC=6.5 \mathrm{cm}$ and $CA=7.5 \mathrm{cm}$ 

Construct $∆NIB$ in which $NI=5.6 \mathrm{cm}$, $IB=6 \mathrm{cm}$ and $BN=6 \mathrm{cm}$. What type of triangle is this?

Construct an equilateral $∆APE$ with side $6.5 \mathrm{cm}$.

Construct a $∆XYZ$ in which $XY=6 \mathrm{cm}$, $YZ=8 \mathrm{cm}$ and $ZX=10 \mathrm{cm}$. Using a protractor find the angle at $Y$. What type of triangle is this?

Construct a $∆ABC$ in which $AB=6 \mathrm{cm}$, $BC=7 \mathrm{cm}$ and $CA=3 \mathrm{cm}$. Which type of triangle is this?

Construct $∆PEN$ with $PE=4 \mathrm{cm}, EN=5 \mathrm{cm}$ and $NP=3 \mathrm{cm}$. If you draw circles instead of arcs how many points of intersection do you get? How many triangles with a given measure are possible? Is this true in the case of every triangle?