Question
Draw $\triangle\text{PQR}$ in which $\angle\text{Q}=80^\circ,$ $\angle\text{R}=55^\circ$ and $QR = 4.5\ cm$. Draw the perpendicular bisector of side $QR$.
✓
Answer
Steps of construction:
Step I: Draw a line segment $QR = 4.5\ cm.$
Step II: Draw $\angle\text{RQX}=80^\circ$ and $\angle\text{QRY}=55^\circ.$
Step III: Let $QX$ and $RY$ intersect at $P$ so that $PQR$ is the required triangle.
Step IV: With $Q$ as centre and radius more that $2.25\ cm$, draw arcs on either sides of $QR$.
Step V: With $R$ as centre and radius more than $2.25\ cm$, draw arcs intersecting the previous arcs at $M$ and $N$.
Step VI: Join $MN$ is the required perpendicular bisector of $QR$.
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
Sudhir bought an almirah for $Rs. 13600$ and spent $Rs. 400$ on its transportation. He sold it for $Rs. 16800.$ Find his gain percent.
→In Fig. $A C \perp C E$ and $\angle A: \angle B: \angle C=3: 2: 1$, find the value of $\angle E C D$.
→By what number should we multiply $\frac{-15}{28}$ so that the product may be $\frac{-5}{7}?$
→The cost of $7\frac{2}{3}$ metres of rope is $12\frac{3}{4}$ Find its cost per metre.
→Simplify the following and express the result as a rational number in standard form:
$\frac{-19}{36} \times 16$
→$\frac{-19}{36} \times 16$
In Fig., if $AB = 35\ cm, AD = 20\ cm$ and area of the parallelogram is $560\ cm^2$, find $LB$.
→Ravish reads $\frac{1}{3}$ part of a book in 1 hour. How much part of the book will he read in $2 \frac{1}{5}$ hours?
→How much is $x^2-2 x y+3 y^2$ less than $2 x^2-3 y^2+x y$ ?
→→
Amisha makes a star with the help of line segments $a, b, c, d, e$ and $f,$ in which $a || d, b || e$ and $c || f.$ Chhaya marks an angle as $120^\circ $ as shown in Fig. and asks
Amisha to find the $\angle\text{x}$, $\angle\text{y}$ and $\angle\text{z}$. Help Amisha in finding the angles.
→Amisha to find the $\angle\text{x}$, $\angle\text{y}$ and $\angle\text{z}$. Help Amisha in finding the angles.