Question

The construction of ∆ABC in which AB = 6 cm, ∠A = 45⁰ is possible when (BC + AC) is


7 cm

5 cm

5.8 cm

4.9 cm

​

Answer 1

Answer:

Given, BC = 6 cm and ∠B= 45°

We know that, the construction of a triangle is not possible, if sum of two sides is less than or equal to the third side of the triangle.

i.e., AB + BC < AC

⇒ BC < AC – AB

⇒ 6 < AC-AB

So, if AC – AB= 6.9 cm, then construction of ΔABC with given conditions is not possible.

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