Draw a line segment AB of length 8.5 cm. From this cut off a line segment of lemgth XZ of length 4.8 cm. Measure ZY. Also verify that XZ+ZY=XY
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Solution:
Steps of construction
1. Draw a line segment XY of length 8.5 cm.
2. With the help of compass, from point X , mark arc on segment X Y at a distance of 4.8 cm, such that X Z= 4.8 cm.
3. With the help of divider, measure the length of Y Z. You will find Y Z= 3.7 cm.
As, X,Y and Z are Collinear.
XY= 8.5 cm
XZ= 4.8 cm
YZ= 3.7 cm
→ X Z +Y Z
= 4.8 +3.7
= 8.5 cm
= X Y
Hence proved.
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Answer:
Draw a line segment XZ to length 8.5cm
with help the compass from point X mark arc on segment XZ at a distance of 4.8 cm such that XZ=4.8
with subtract AB and XZ =8.5 -4. 8 =3.7
ZY =3.7
with add XZ+ZY =4.8+3.7=8.5
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