construct a parallelogram CALF with CA=7cm , CF=6cm and AF= 10 cm also find its area.
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Answers
Answer:
Given:
AC = 9 cm, BD = 7 cm and ∠ AOB = 120°
Steps for construction
Step 1 : Draw a rough diagram and mark the given measurements.
Step 2 : Draw a line segment AC = 9 cm.
Step 3 : Mark O the midpoint of
AC
.
Step 4 : Draw a line
XY
through O which makes ∠ AOY = 120°.
Step 5 : With O as centre and 3.5 cm as radius draw two arcs on
XY
on either sides of
AC
cutting
OX
at D and
OY
at B.
Step 6 : Join
AB
,
BC
,
CD
and
DA
. ABCD is the required parallelogram.
Step 7 : From D draw
DE
⊥
AB
and measure the length of DE. DE = h = 4 cm. AB = b = 7 cm.
Calculation of area:
In the parallelogram ABCD, b = 7 cm and h = 4 cm.
Area of the parallelogram ABCD = b *h = 7 *4 = 28 cm2
Step-by-step explanation:
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Step-by-step explanation: