To a man walking at 4 kmph along a road running due west, the wind appears to blow from south, while to a cyclist travelling in a same direction at 8kmph it appears to come from south-west. What is the true direction and speed of the wind?
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Constructions Exercise 17.2
Question: 1
Draw △ABC in which AB = 5.5 cm. BC = 6 cm and CA = 7 cm. Also, draw perpendicular bisector of side BC.
Solution:
Constructions Exercise 17.2 Question: 1
Steps of construction:
Draw a line segment AB of length 5.5 cm.
From B, cut an arc of radius 6 cm.
With centre A, draw an arc of radius 7 cm intersecting the previously drawn arc at C.
Join AC and BC to obtain the desired triangle.
With centre B and radius more than half of BC, draw two arcs on both sides of BC.
With centre C and the same radius as in the previous step, draw two arcs intersecting the arcs drawn in the previous step at X and Y.
Join XY to get the perpendicular bisector of BC.
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