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Question

Construct Δ ABC such that AB = 2.5 cm, BC = 6cm and AC = 6.5 cm. Measure B.

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Solution

To construct: Δ ABC in which AB = 2.5 cm, BC = 6 cm and AC = 6.5 cm.

(a) Draw a line segment BC = 6 cm
(b) Taking B as centre and radius 2.5 cm, draw an arc.
(c) Similarly, taking C as centre and radius 6.5 cm, draw another arc which intersects first arc at point A.
(d) Join AB and AC.
(e) Measure angle B with the help of protractor.
It is the required Δ ABC where B = 80.

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