Construct $∆XYZ$ in which $XY=4.5\ cm,\ YZ=5\ cm$ and $ZX=6\ cm$.
Follow the steps given below:
- Draw a line segment YZ of length 5 cm.
- From Y, we need a point X at a distance of 4.5 cm. So, with Y as the center, draw an arc with a radius of 4.5 cm. From Z, point X is at a distance of 6 cm.
- So, with Z as the center, draw an arc of a radius of 6 cm.
- X has to be on both the arcs drawn.
- So, it is the point of intersection of arcs. Mark the point of intersection of arcs as X.
- Join XY and XZ.
Thus, $\triangle XYZ$ is the required triangle.
Related Articles
- Construct a triangle $XYZ$ in which $\angle Y = 30^o , \angle Z = 90^o$ and $XY +YZ + ZX = 11\ cm$.
- ∆ABC ~ ∆LMN. In ∆ABC, AB = 5.5 cm, BC = 6 cm, CA = 4.5 cm. Construct ∆ABC and ∆LMN such that $\frac{BC}{MN} \ =\ \frac{5}{4}$.
- Construct a $∆ABC$ in which $AB + AC = 5.6\ cm, BC = 4.5\ cm$ and $\angle B = 45^o$.
- Construct a triangle \( \mathrm{XYZ} \) in which \( \angle \mathrm{Y}=30^{\circ}, \angle \mathrm{Z}=90^{\circ} \) and \( \mathrm{XY}+\mathrm{YZ}+\mathrm{ZX}=11 \mathrm{~cm} \).
- Construct a triangle with sides 4 cm, 5 cm, and 6 cm.
- Construct $∆ABC$ such that $AB=2.5\ cm$, $BC=6\ cm$ and $AC=6.5\ cm$. Measure $\angle B$.
- Construct $∆ABC$ with $BC = 7.5\ cm$, $AC = 5\ cm$ and $\angle C = 60^{\circ}$.
- Construct $∆DEF$ such that $DE = 5\ cm$, $DF = 3\ cm$ and $\angle EDF = 90^{\circ}$.
- Construct a rhombus CLUE in which $CL = 7.5$ cm and $LE = 6$ cm.
- Construct a $∆ABC$ in which $BC = 3.6\ cm, AB + AC = 4.8\ cm$ and $\angle B = 60^o$.
- \( \triangle \mathrm{ABC} \sim \triangle \mathrm{ZYX} . \) If \( \mathrm{AB}=3 \mathrm{~cm}, \quad \mathrm{BC}=5 \mathrm{~cm} \), \( \mathrm{CA}=6 \mathrm{~cm} \) and \( \mathrm{XY}=6 \mathrm{~cm} \), find the perimeter of \( \Delta \mathrm{XYZ} \).
- Construct the quadrilateral ABCD. AB is equal to 4.5 cm, BC is equal to 5.5 cm, CD is equal to 4 cm, AD is equal to 6 cm and AC is equal to 7 cm
- Construct a rectangle $ABCD$, where $AB =12\ cm,\ BC=5\ cm$.
- Is it possible to have a triangle with the following sides?$(i).\ 2 cm,\ 3 cm,\ 5 cm$$(ii).\ 3 cm,\ 6 cm,\ 7 cm$$(iii).\ 6 cm,\ 3 cm,\ 2 cm$
Kickstart Your Career
Get certified by completing the course
Get Started
Data Structure
Networking
RDBMS
Operating System
Java
MS Excel
iOS
HTML
CSS
Android
Python
C Programming
C++
C#
MongoDB
MySQL
Javascript
PHP
Physics
Chemistry
Biology
Mathematics
English
Economics
Psychology
Social Studies
Fashion Studies
Legal Studies
