Question

the construction of a triangle ABC given so that BC=6cm angle B =45⁰ is not possible when difference of AB and AC is equal to how many 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.