Question

the lentgh of two sides of a triangle are 4 cm and 6 cm. Between what two measures should the length of the third side fall?

Answer 1

when you apply the cosine theorem

the data that you have to introduce is:

side AB = 4,

side BC = 6

Side AC = sqrt (AB^2+BC^2–2AB*BC*cosine (angle between AB and BC)

angle between AB and BC= 0 and 180, because I pretend to evaluate all the possible triangles that can be created, after

Then you will get a lot of possible triangles, you just have to change the angle between AB and BC

and the values of the third side range from 2 to 10, as you may notice, the superior and inferior limits is no more than the difference and the sum of both sides.