Construct a triangle with sides $ 5 \mathrm{~cm}, 5.5 \mathrm{~cm} $ and $ 6.5 \mathrm{~cm} $. Now, construct another triangle whose sides are $ 3 / 5 $ times the corresponding sides of the given triangle.

Given:

A triangle of sides \( 5 \mathrm{~cm}, 5.5 \mathrm{~cm} \) and \( 6.5 \mathrm{~cm} \).

To do:

We have to Construct a triangle with sides \( 5 \mathrm{~cm}, 5.5 \mathrm{~cm} \) and \( 6.5 \mathrm{~cm} \). Now, construct another triangle whose sides are \( 3 / 5 \) times the corresponding sides of the given triangle.

Solution:

Steps of construction:

(i) Draw a line segment $BC = 5.5\ cm$.

(ii) With centre $B$ and radius $5\ cm$ and with centre $C$ and radius $6.5\ cm$, draw arcs that intersect each other at $A$.

(iii) Join $BA$ and $CA$.

$ABC$ is the required triangle.

(iv) At $B$, draw a ray $BX$ making an acute angle and cut off five equal parts from $BX$.

(v) Join $CB_5 and draw $B_3D\ \parallel\ B_5C$ which meets $BC$ at $D$.

From $D$, draw $DE\ \parallel\ CA$ which meets $AB$ at $E$.

$EBD$ is the required triangle.

Tutorialspoint

Updated on: 10-Oct-2022

37 Views

Kickstart Your Career

Get certified by completing the course

Get Started