Construct $\Delta ABC$ in which $BC = 6 \, cm$,$\angle B = 60^{\circ}$ and $AB - AC = 1 \, cm$. Write the steps of construction.
(N/A) Steps of construction:
$1$. Draw a line segment $BC = 6 \, cm$.
$2$. At point $B$,construct an angle $\angle XBC = 60^{\circ}$.
$3$. Cut a line segment $BD = AB - AC = 1 \, cm$ from the ray $BX$.
$4$. Join $DC$.
$5$. Draw the perpendicular bisector of $DC$,let it intersect $BX$ at point $A$.
$6$. Join $AC$. Thus,$\Delta ABC$ is the required triangle.
$1$. Draw a line segment $BC = 6 \, cm$.
$2$. At point $B$,construct an angle $\angle XBC = 60^{\circ}$.
$3$. Cut a line segment $BD = AB - AC = 1 \, cm$ from the ray $BX$.
$4$. Join $DC$.
$5$. Draw the perpendicular bisector of $DC$,let it intersect $BX$ at point $A$.
$6$. Join $AC$. Thus,$\Delta ABC$ is the required triangle.
Explore More
Similar Questions
Construct a right triangle whose base is $6\,cm$ and the sum of its hypotenuse and other side is $9\,cm$.
Difficult
View SolutionConstruct $\triangle ABC$ in which $BC = 5\,cm$,$\angle B = 60^{\circ}$ and $AB + AC = 9\,cm$. Write the steps of construction.
Medium
View SolutionConstruct an angle of $7 \frac{1}{2}^{\circ}$ and write the steps of construction.
Medium
View SolutionConstruct $\Delta ABC$ in which $\angle B = 30^{\circ}$,$\angle C = 90^{\circ}$ and $AB + BC + CA = 14 \, cm$. Write the steps of construction.
Medium
View SolutionDraw an equiangular $\Delta PQR$ in which $PQ = 6\,cm$. Write the steps of construction.
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