Construct a rhombus whose side is of length $3.4 \, cm$ and one of its angles is $45^{\circ} .$
(N/A) Steps of construction:
$1.$ Draw a line segment $AB = 3.4 \, cm$.
$2.$ At point $A$,construct an angle $\angle BAM = 45^{\circ}$.
$3.$ At point $B$,construct an angle $\angle TBN = 45^{\circ}$ (where $T$ is on the line extending from $AB$).
$4.$ From ray $AM$,cut off a segment $AD = 3.4 \, cm$.
$5.$ From ray $BN$,cut off a segment $BC = 3.4 \, cm$.
$6.$ Join $CD$. Thus,$ABCD$ is the required rhombus.
$1.$ Draw a line segment $AB = 3.4 \, cm$.
$2.$ At point $A$,construct an angle $\angle BAM = 45^{\circ}$.
$3.$ At point $B$,construct an angle $\angle TBN = 45^{\circ}$ (where $T$ is on the line extending from $AB$).
$4.$ From ray $AM$,cut off a segment $AD = 3.4 \, cm$.
$5.$ From ray $BN$,cut off a segment $BC = 3.4 \, cm$.
$6.$ Join $CD$. Thus,$ABCD$ is the required rhombus.
Explore More
Similar Questions
Write True or False and give reasons for your answer.
$A$ triangle $ABC$ can be constructed in which $AB = 5 \, cm$,$\angle A = 45^{\circ}$ and $BC + AC = 5 \, cm$.
$A$ triangle $ABC$ can be constructed in which $AB = 5 \, cm$,$\angle A = 45^{\circ}$ and $BC + AC = 5 \, cm$.
Easy
View SolutionWrite True or False and give reasons for your answer.
An angle of $42.5^{\circ}$ can be constructed.
An angle of $42.5^{\circ}$ can be constructed.
Easy
View SolutionWrite True or False and give reasons for your answer.
$A$ triangle $ABC$ can be constructed in which $BC = 6 \, cm$,$\angle C = 30^{\circ}$ and $AC - AB = 4 \, cm$.
$A$ triangle $ABC$ can be constructed in which $BC = 6 \, cm$,$\angle C = 30^{\circ}$ and $AC - AB = 4 \, cm$.
Easy
View SolutionConstruct an angle of measurement $30^{\circ}$.
Medium
View SolutionDraw an angle of $110^{\circ}$ with the help of a protractor and bisect it. Measure each angle.
Medium
View SolutionVedclass Products
For Students
Vedclass Test Series
Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.
Start Free TrialFor Teachers
Exam Paper Generator
Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.
Try FreeFor Institutes
Online Exam Module
Live online exams with unlimited students, 360° analytics & white-label branding.
See Demo