Using ruler and compass only, construct a \triangle {\ABC} such that {\BC}=5 {\cm} and {\AB}= 6.5 {\cm} and \angle {\ABC}=120^{\circ} (i) Construct a circum-circle of \triangle {\ABC} (ii) Construct a cyclic quadrilateral {\ABCD}, such that {\D} is equidistant from {\AB} and BC.

ICSE Class X Math 2018 Solved Paper - Question 24

Question : 24 of 32

Marks: +1, -0

Using ruler and compass only, construct a

△ {\ABC}

such that

{\BC}=5 {\cm}

and

{\AB}=

6.5 {\cm}

and

∠ {\ABC}=120^{∘}

(i) Construct a circum-circle of

△ {\ABC}

(ii) Construct a cyclic quadrilateral

{\ABCD}

, such that

{\D}

is equidistant from

{\AB}

and BC.

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