Question

Show that the points (-2,3),(8,3) and (6,7) are the vertices of a right angle triangle

Answer 1

let the points be A, B and C respectively..

by distance formula
AB=√[(8+2)²+(3-3)²]
=10 units

similarly,
BC= 2√5 units
AC= 4√5 units

AC²+BC²= 20+80
=100
and AB²=100

therefore A, B, C form a right angled triangle
forming a right angle at C
(inverse of Pythagoras theorem)

Answer 2

Step-by-step explanation:

find the distance bet AB ,BC ,CA

and then

AC²+BC²= AB²

so ,20+80=100

it forms right angle at c ( by inverse of Pythagoras theorem) see in the above photo or pic and know the answer