What is the perimeter of the triangle shown on the coordinate plane, to the nearest tenth of a unit ?

25.6 units

Step-by-step explanation:

From the figure we can infer that our triangle has vertices A = (-5, 4), B = (1, 4), and C = (3, -4).

First thing we are doing is find the lengths of AB, BC, and AC using the distance formula:

where

are the coordinates of the first point

are the coordinates of the second point

- For AB:

- For BC:

- For AC:

Next, now that we have our lengths, we can add them to find the perimeter of our triangle:

We can conclude that the perimeter of the triangle shown in the figure is 25.6 units.

proofs involving isosceles triangles often require special consideration because an isosceles triangle has several distinct properties that do not apply to normal triangles.(more about triangle types) therefore, when you are trying to prove that two triangles are congruent, and one or both triangles, are isosceles you have a few theorems that you can use to make your life easier.

step-by-step explanation:

an isosceles triangle has two congruent sides and two congruent angles. the congruent angles are called the base angles and the other angle is known as the vertex angle. ∠bac and ∠bca are the base angles of the triangle picture on the left. the vertex angle is ∠abc

inch

step-by-step explanation:

yard and mile are too big.