Question

Is it possible to
have a triangle
with sides 5cm, 6cm
and 11 cm? Give reasons​

Answer 1

Answer:

NO, it’s simply not possible to have a triangle with sides 5 cm, 6 cm and 11 cm. Why? Because for the 3 points to form a triangle, you have to rise above the realm of a line into the realm of a plane.

With the kind of sides given here (5 cm, 6 cm and 11 cm), when you try to plot, you get a line as the points happen to be colinear.

If 2 sides are 5 cm and 6 cm, the 3rd side (l) has to be more than 1 cm and at the same time less than 11 cm, i. e. 1 < l < 11.

If the side is less than or equal to 1 or the side is greater than or equal to 11, you don’t get a Triangle.

When the side is exactly equal to one or 11 (in the current scenario), you get a straight line.

When the side is lass than one or greater than 11, the shape is purely imaginary as two-two points don’t meet to give you any shape.

Answer 2

Answer:

No ,it is not possible to have a triangle with sides 5 cm,6 cm and 11 cm.

Because the sum of two sides is more than the third side.