The vertices D, E and F in the triangle DEF are the coordinates of the triangle
The triangle DEF can be classified as an isosceles triangle
The vertices of the triangle are given as:
D = (2, 1)
E = (3,5)
F = (6,2)
The side length of the triangle is calculated using:
L = √[(x₁ - x₂)² + (y₁ - y₂)²]
So, we have:
DE = √[(5 - 1)² + (3 - 2)²]
DE = √17
DF = √[(2 - 1)² + (6 - 2)²]
DF = √17
EF = √[(2 - 5)² + (6 - 3)²]
EF = √18
Hence, the side lengths of the triangle DEF are √17, √17 and √18
The slope of the lengths is calculated using:
m = (y₁ - y₂)/(x₁ - x₂)
So, we have:
DE = (5 - 1)/(3 - 2)
DE = 4
DF = (2 - 1)/(6 - 2)
DF = 1/4
EF = (2 - 5)/(6 - 3)
EF = -1
Hence, the slopes of the sides are 4, 1/4 and -1
In (a) and (b) above, we have sides DE and DF to be congruent and none of the slopes are equal ot opposite reciprocals
Hence, the triangle DEF is an isosceles triangle
Read more about triangles at:
brainly.com/question/388810
