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Construct a triangle ABC given BC = 5 cm, AC = 6 cm and ∠C = 75°. Draw the bisector of the interior angle at A. Let this bisector meet BC at P ; measure BP.

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Steps of Construction :

(1) Draw BC = 5 cm.

(2) With the help of compass from the center, C. Draw an angle ∠C = 75°.

(3) From CD, cut an arc AC = 6 cm.

(4) Join AB.

(5) From A draw a bisector AP.

(6) On measuring BP = 2.6 cm.

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