Which classification describes AMNO with vertices M(2, -3), N(3, 1), and
0(-3, 1)?

Option D

Step-by-step explanation:

32). Given vertices of the triangle are M(2, -3), N(3, 1) and O(-3. 1).

Distance between two points and is given by the expression,

Distance =

Distance between M(2, -3) and N(3, 1) will be,

MN =

      =

      =

Distance between M(2, -3) and O(-3, 1),

MO =

      =

      =

Distance between N(3, 1) and O(-3, 1),

NO =

      = 6

Condition for right triangle,

c² = a² + b² [Here c is the longest side of the triangle]

By this property,

MO² = MN² + NO²

41 = 17 + 36

41 = 51

False.

Therefore, given triangle is not a right triangle.

Since, length of all sides are not equal, given triangle will be a scalene triangle.

Option D is the correct option.

d. bc = 12 and ef = 16

step-by-step explanation:

we are given that δabc : δdef such that .

also, it is given that

so, from the options, we need that .

a.

b.

c.  

d.

as, we can see that only option d gives the same ratio as i.e. .

hence, the possible lengths are bc = 12 and ef = 16.

2160ft3

step-by-step explanation: