Question

If the vertices of a triangle be (0 0) (6 0) and (6 8) then it's incentre will be

Answer 1

Answer:

Incenter (Oₓ , Oy) = (4,2)

Explanation:

Given that the vertices of a triangle be A(0 0), B(6 0) and C(6 8)

Length of the side AB = 6 = c

Length of the side BC = 8 = a

Length of the side AC = 10 = b

Perimeter of triangle ABC = a + b + c = 8 + 10 + 6 = 24

Given the coordinates of the three vertices of a triangle ABC,

the coordinates of the incenter O are:

Oₓ = (aAₓ + bBₓ + cCₓ)/p                                 Oy = (aAy + bBy + cCy)/p

Incenter (Oₓ , Oy) = (4,2)