Construct a triangle whose sides are $3.6 \, cm$,$3.0 \, cm$,and $4.8 \, cm$. Bisect the smallest angle and measure each part. Write the steps of construction.

Vedclass pdf generator app on play store
Vedclass iOS app on app store
(N/A) Step $1$: Draw a line segment $AB = 4.8 \, cm$.
Step $2$: Taking $A$ as the center and radius $3.0 \, cm$,draw an arc. Taking $B$ as the center and radius $3.6 \, cm$,draw another arc that intersects the previous arc at point $C$.
Step $3$: Join $CA$ and $CB$ to obtain the required triangle $ABC$.
Step $4$: Measure all internal angles. The smallest angle is $\angle ABC$ (opposite to the shortest side $AC = 3.0 \, cm$).
Step $5$: To bisect $\angle ABC$,take any radius and with center $B$,draw an arc that intersects $AB$ at $P$ and $BC$ at $Q$.
Step $6$: With the same radius and centers $P$ and $Q$,draw two arcs that intersect each other at point $R$.
Step $7$: Join $BR$ and extend it to intersect $AC$ at point $D$. $BD$ is the angle bisector of $\angle ABC$.

Explore More

Similar Questions

Draw an angle of $110^{\circ}$ with the help of a protractor and bisect it. Measure each angle.

Construct $\Delta ABC$ in which $\angle B = 30^{\circ}$,$\angle C = 90^{\circ}$ and $AB + BC + CA = 14 \, cm$. Write the steps of construction.

Construct an angle of $157.5^{\circ}$ and write the steps of construction.

Write 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 $AC - AB = 4 \, cm$.

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 $BC + AC = 5 \, cm$.

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo