Construct a triangle ABC in which base BC=4.6cm, angle B=45degree and AB+CA= 8.2cm
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Step-by-step explanation:
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Answer:
Step-by-step explanation:
(i) Draw BC = 4.6 cm.
(ii) Construct ∠YBC = 45°.
(iii) From ray BY, cut-off line segment BD = AB + BC = 8.2cm.
(iv) Join CD.
(v) Draw the perpendicular bisector of CD meeting BY at A.
(vi) Join AC to obtain the required triangle ABC.
Justification
Since A lies on the perpendicular bisector of CD.
∴ AC = AD
Now BD = 8.2 cm
⇒ BA + AD = 8.2 cm
⇒ BA + BC = 8.2cm
Hence, △ABC is the required triangle.
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