Question

find the incentre and excentre of the triangle formed by (7,9),(3,-7),(-3,3)​

Answer 1

Coordinates of the In center is ( 1.7 , 1.8 ).
Step-by-step explanation:
Given: Coordinates of the triangle A( 7 , 9 ) , B( 3 , -7 ) and C( -3 , 3 )
To find: In center of the triangle.
In center of the triangle =
where, are x coordinates of the vertex.
are y coordinates of the vertex.
a , b , c are the length of sides opposite to vertex A , B and C respectively.
p is the perimeter of the triangle.
length of the side AB opposite to vertex C , c =
length of the side CB opposite to vertex A , a =
length of the side AC opposite to vertex B , b =
p = 11.7 + 11.7 + 16.5 = 39.9
So, In center
Therefore, Coordinates of the In center is ( 1.7 , 1.8 ).