Question

can you draw a triangle with vertices (1,5) , (5,8) and (13,14)? Give reasons​

Answer 1

Answer:

These cant form a triangle

Step-by-step explanation:

Let the points be A (1,5) B (5,8) and C (13,14)

AB = Root [(5-1)^2 + (14-8)^2] = root (16+9) = root 25 = 5

BC = Root [(13-5)^2 + (14-8)^2] = Root(64+36) = root 100 = 10

AC = Root [(13-1)^2 + (14-5)^2] = Root (144+81) = Root 225 = 15

Sum of any two sides should always be greater than the third side to make a triangle,

But AB + BC = 10 + 5 = 15 = AC.

AB + BC is not greater than AC

Hence these vertices cant form triangles