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# Construct a ABC in which BC = 4.5 cm, B = 45o and AB - AC = 2.5 cm. Justify the construction.

Asked by Topperlearning User 11th December 2013, 2:07 AM
Answered by Expert
Answer:

Steps of construction:

i) Draw a ray BX and cut off a line segment BC = 4.5 cm from it.

ii) Construct XBY = 45o.

iii) Cut of a line segment BD = 2.5 cm from ray BY.

iv) Join CD.

v) Draw perpendicular bisector of CD cutting BY at A.

vi) Join AC.

ABC is the required triangle.

Justification:

Point A lies on the perpendicular bisector of DC. Therefore, AD = AC

So, BD = AB - AD = AB - AC

Answered by Expert 11th December 2013, 4:07 AM
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