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Construction of Triangles

The construct...

Question

The construction of a ∆ABC in which AB = 6 cm, ∠A = 45° is possible when (BC + AC) is
(a) 7 cm
(b) 5.8 cm
(c) 5 cm
(d) 4.9 cm

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Solution

(a) 7 cm
We know that the sum of any two sides of a triangle is always greater than the third side.
i.e., BC + AC > AB
Here, BC + AC > 6 cm and 7 > 6

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