Question

9. The construction of a triangle ABC, given that BC
<B = 45° is not possible when difference of AB ar
equal to:
(a) 6.9 cm
(b) 5.2 cm
(c) 5.0 cm
(d) 4.0 cm
10. The construction of a triangle ABC, given that BC
<C=60° is possible when difference of AB and AC
to:
(a) 3.2 cm
(c) 3 cm
(6) 3.1 cm
(d) 2.8 cm​

Answer 1

1. 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.