Question

To construct a triangle ABC in which AB = 6.5 cm and ∠A = 70° is not possible when sum of BC and AC is equal to ………… 1 point (a) 8 cm (b) 6.2 cm (c) 7 cm (d) 6.9 cm​

Answer 1

Answer:

6.2 cm

Step-by-step explanation:

according to the triangle theorem if sum two side of triangle is larger than third side than only a triangle is possible

Answer 2

(b) 6.2 cm

Triangle properties

According to the Triangle Inequality Theorem "the sum of any 2 sides of a triangle must be greater than the measure of the third side".

A + B > C

B + C > A

A + C > B

Hence, to form a triangle the sum of two sides should not be less than the third side of the triangle.

It is given that AB = 6.5 cm and ∠A = 70°

Now, if the sum of the other two sides is less than AB, then a triangle cannot be constructed. Hence, if the sum of BC and AC is equal to 6.2 cm, then triangle cannot be formed.