Constructions of Quadrilaterals — MATHEMATICS STD 9 — Question
ICSE BoardEnglish MediumSTD 9MATHEMATICSConstructions of Quadrilaterals5 Marks
Question
Construct a rhombus $\text{ABCD}$, given $AB = 3.8\ cm$ and $\angle A = 60^\circ $. Measure $AC.$
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Answer
In rhombus length of all the sides is equal.
Steps of Construction:
$1)$ Draw a line segment $AB = 7.8\ cm.$
$2)$ At $A$, draw a ray making an angle of $60^\circ $ with $AB.$
$3)$ With $A$ as centre and radius $3.8\ cm$ cut an arc on the ray making an angle of $60^\circ $ with $Ab$.
Mark the point as $D.$
$4)$ With $B$ and $D$ as centres and radii $3.8\ cm$ mark two arcs cutting each other at point $C.$
$5)$ Join $DC$ and $BC.$
$6) \text{ABCD}$ is the required rhombus.
$7)$ On measuring $AC = 6.5\ cm.$
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