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Construct an Isosceles Triangle Abc Such that Ab = 6 Cm, Bc = Ac = 4 Cm. Bisect ∠C Internally and Mark a Point P on this Bisector Such that Cp = 5 Cm. Find the Points Q and R Which Are 5 Cm from - Mathematics

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प्रश्न

Construct an isosceles triangle ABC such that AB = 6 cm, BC = AC = 4 cm. Bisect ∠C internally and mark a point P on this bisector such that CP = 5 cm. Find the points Q and R which are 5 cm from P and also 5 cm from the line AB.

योग

उत्तर

Steps of construction:
(i) Draw AB = 6 cm and cut arc of 4 cm from A and B these arcs intersect at C join AC and BC.
(ii) Draw the bisector (internal) of ∠ C and mark the point P, taking CP = 5 cm
(iii) Draw a line EF parallel to AB at a distance of 5 cm.
(iv) Take P as centre cut two points on line EF as PQ and PR are each equal to 5 cm.

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अध्याय 16: Constructions (Circle) - Exercise

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आईसीएसई Mathematics [English] Class 10
अध्याय 16 Constructions (Circle)
Exercise | Q 10

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1) Construct a triangle ABC with the following data: AB = 3.5 cm, BC = 6 cm and ABC = 120°

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