Q. 34.0( 19 Votes )
Construct a trian
Steps of Construction:
Step I: AB = 6 cm is drawn.
Step II: With A as a centre and radius equal to 4cm, an arc is draw. Again, with B as a centre and radius equal to 5 cm an arc is drawn on same side of AB intersecting previous arc at C.
Step III: AC and BC are joined to form ΔABC.
Step IV: A ray AX is drawn making an acute angle with AB below it.
Step V: 5 equal points (sum of the ratio = 2 + 3 =5) is marked on AX as A1 A2....A5
Step VI: A5B is joined. A2 B' is drawn parallel to A5B and B'C' is drawn parallel to BC.
ΔAB'C' is the required triangle
∠C = ∠C' and ∠B = ∠ B' (corresponding angles)
Thus ΔAB'C' ~ ΔABC by AAA similarity condition
From the figure,
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