We can find the perimeter of any triangle adding the length of its sides. Since we are given 3 points, we need to calculate the length of the three sides of the triangle, and then add them to know the perimeter of the triangle.

Let be the points:

A(-3,-1)

B(-1,2)

C(6,1)

<h3>- Distances</h3>

From A to B:

$d(A,B)=\sqrt{(-1-(-3))^{2}+(2-(-1)^{2}}\\\\d(A,B)=\sqrt{(2)^{2}+(3)^{2}}=\sqrt{4+9}=3.61units$

From A to C:

$d(A,C)=\sqrt{6-(-3))^{2}+(1-(-1)^{2}}\\\\d(A,B)=\sqrt{(9)^{2}+(2)^{2}}=\sqrt{81+4}=9.22units$

From B to C:

$d(B,C)=\sqrt{6-(-1))^{2}+(1-2)^{2}}\\\\d(A,B)=\sqrt{(7)^{2}+(-1)^{2}}=\sqrt{49+1}=7.07units$

Now, calculating the perimeter, we have:

$Perimeter=d(A,B)+d(A,C)+d(B,C)=3.61units+9.22units+7.07units\\\\Perimeter=19.9units$

Have a nice day!

5 0

3 years ago

PLS HELP IlL GIVE BRAINLIEST

s2008m [1.1K]

Polygons are easy to classify p

7 0

3 years ago

Ms. Avella’s class volunteers at an animal shelter one day per week.each student is responsible for caring for four animals duri

SOVA2 [1]

Answer:

Option (3)

Step-by-step explanation:

Since, every student is responsible for the caring of 4 animals during every hour,

Number of animals cared for ∝ Number of hours spent at shelter

a ∝ h

a = kh

Here 'k' = proportionality constant

For h = 1 and a = 4,

k = $\frac{h}{a}=\frac{4}{1}$

k = 4

a = 4h

By this equation,

For h = 2,

a = 8

For h = 3,

a = 12

For h = 4,

a = 16,

For h = 5,

a = 20

Since, for every input value there is a different output value,

Diagram shows a function.

Therefore, Option (3) will be the correct option.

6 0

4 years ago