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Answer for only question 5
Step-by-step explanation:
1) Draw a line segment BC = 5 cm. Construct an angle ∠60°.
2) Construct another line segment BD = 7.5 cm on angle B.
3) Connect D and C and draw a perpendicular bisector to DC.
4) Mark its intersecting point with DC as O and with BD as A.
5) Join points A and C. Hence Δ ABC is formed.
Justification:
In ΔOAD and ΔOAC
OD = OC ( OA is a perpendicular bisector to DC )
∠AOD = ∠AOC ( OA is a perpendicular bisector to DC )
OA = OA ( Commom )
By SAS congruency criterion,
ΔOAD ≅ ΔOAC
By CPCT, AD = AC
AB + AD
= AB + AC = 7.5 cm
Hence justified
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