Question

4. The construction of the triangle ABC is not possible if it is given that BC = 4 cm, ∠C = 60°

and the difference of AB and AC is

(i) 3.5 cm

(ii) 4.5 cm

(iii) 3 cm

(iv) 2.5 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.

Answer 2

Answer:

Actually there should be 3 measurements because in triangle there are three sides should be three measurements but u have given only three why