Construct $\triangle ABC$ in which $BC = 5\,cm$,$\angle B = 60^{\circ}$ and $AB + AC = 9\,cm$. Write the steps of construction.
(N/A) Steps of construction:
$1$. Draw a line segment $BC = 5\,cm$.
$2$. At point $B$,construct an angle $\angle XBC = 60^{\circ}$.
$3$. Cut a line segment $BD = 9\,cm$ from the ray $BX$.
$4$. Join $CD$.
$5$. Construct the perpendicular bisector of $CD$,which intersects $BD$ at point $A$.
$6$. Join $AC$. Thus,$\triangle ABC$ is the required triangle.
$1$. Draw a line segment $BC = 5\,cm$.
$2$. At point $B$,construct an angle $\angle XBC = 60^{\circ}$.
$3$. Cut a line segment $BD = 9\,cm$ from the ray $BX$.
$4$. Join $CD$.
$5$. Construct the perpendicular bisector of $CD$,which intersects $BD$ at point $A$.
$6$. Join $AC$. Thus,$\triangle ABC$ is the required triangle.
Explore More
Similar Questions
The construction of a triangle $ABC$,given that $BC = 6 \, cm, \angle B = 45^{\circ}$ is not possible when the difference of $AB$ and $AC$ is equal to: (in $cm$)
Medium
View SolutionState whether the following statement is True or False and give reasons for your answer.
$A$ triangle $ABC$ can be constructed in which $\angle B = 105^{\circ}, \angle C = 90^{\circ}$ and $AB + BC + AC = 10 \, cm$.
$A$ triangle $ABC$ can be constructed in which $\angle B = 105^{\circ}, \angle C = 90^{\circ}$ and $AB + BC + AC = 10 \, cm$.
Easy
View SolutionWrite True or False and give reasons for your answer.
$A$ triangle $ABC$ can be constructed in which $\angle B = 60^{\circ}$,$\angle C = 45^{\circ}$ and $AB + BC + AC = 12 \text{ cm}$.
$A$ triangle $ABC$ can be constructed in which $\angle B = 60^{\circ}$,$\angle C = 45^{\circ}$ and $AB + BC + AC = 12 \text{ cm}$.
Medium
View SolutionConstruct an angle of $7 \frac{1}{2}^{\circ}$ and write the steps of construction.
Medium
View SolutionConstruct $\Delta PQR$ in which $QR = 6\,cm$,$\angle Q = 60^{\circ}$ and $PR - PQ = 1\,cm$. 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