Question

The construction of a triangle ΔABC in which BC = 6 cm, ∠A = 50° is not possible, when difference of BC and AC is equal to
(i) 4.6 cm
(ii) 6.4 cm
(iii) 5.1 cm

Answer 1

(a) 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.

Answer 2

HEY HERE IS YOUR ANSWER....

A) Given, BC = 6cm 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 Angle ABC with given conditions is not possible.

HOPE IT HELPS...