Answer:
The triangle is both an Isosceles triangle and a right triangle.
Step-by-step explanation:
Given the vertices of a triangle.
and
We find the distance between all the points to determine the length of each side of the triangle.
Distance between any two points, say, and
is:
Length between and
, (Side 1) :
and
Distance =
Length of Side 1 = units.
Distance between and
, (Side 2):
Distance =
Length of Side 2 = units.
Distance between and
, Side 3 :
Distance =
Length of Side 3 = units.
Note that the length of Side 1 = Length of Side 3.
That means the triangle is Isosceles.
Also, For a triangle to be right angle triangle, using Pythagoras theorem we have:
(Side 1)² + (Side 3)² = (Side 2)²
i.e, 53 + 53 = 106
Hence, the triangle is a right - angled triangle as well.