Points a(7,-5),b(-1-2), and c(-4,6) form triangle abc on a coordinate plane. according to its sides, trinagle abc is an triangle

Isosceles triangle

Step-by-step explanation:

An isosceles triangle is a triangle with two sides being equal in size.

The length or magnitude between two points is calculated by the formula;  

√((x₂ − x₁)² + (y₂ − y₁)²)

Therefore;

Length AB=Sqrt( (3)² + (-8)²)

                 = Sqrt 73

                 = 8.544 units

Length BC = Sqrt ((8²) + (-3)²)

                  = Sqrt 73

                  = 8.544 units

Length AC = Sqrt ((11²) + (-11)²)

                  = Sqrt 242

                  = 15.524 units

Therefore, AB and BC are equal , which means triangle ABC is an isosceles triangle.

a 4/6 = 9/12   not proportional

step-by-step explanation:

to find which are not proportional, we can use cross products

if it is true, they are proportional.   if it is not true, they are not proportional.

a 4/6 = 9/12

4* 12 = 6*9

48 = 54

not this is not proportional  

b 2/3 = 12/18  

2* 18 = 3 * 12

36 = 36

this is proportional

c 5/4 = 10/8  

5*8 = 4*10

40 = 40

this is proportional

d 7/5 = 35/25

7*25 = 5 * 35

175 = 175

is proportional