Question

. Given AB of length 7.3 cm and CD of length 3.4 cm, construct a line segment XY such that the length of XY is equal to the difference between the lengths of AB and CD. Verify by measurement.​

Answer 1

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Given

AB

of length 7.3 cm and

CD

of length 3.4 cm, construct a line segment

XY

such that the length of

XY

is equal to the difference between the lengths of

AB

and

CD

. Verify by measurement.

Hard

Solution

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Steps of construction:

(i) Draw a line 'l ' and take a point X on it.

(ii) Construct XZ bar such that length XZ bar = length of AB bar = 7.3 cm

(iii) Then cut off ZY bar = length of CD bar = 3.4 cm

(iv) Thus the length of XY bar = length of AB bar – length of CD bar Verification: By measurement we find that length of XY bar = 3.9 cm = 73. Cm – 3.4 cm = AB bar = CD barsegment-xy-bar