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iris [78.8K]
3 years ago
7

Find the perimeter of a triangle with vertices A(2,5) B(2,-2) C(5,-2). Round your answer to the nearest tenth and show your work

.​
Edit: Nvm I got it:)
Mathematics
1 answer:
valina [46]3 years ago
5 0

Answer:

Step-by-step explanation:

Question

Find the perimeter of a triangle with vertices A(2,5) B(2,-2) C(5,-2). Round your answer to the nearest tenth and show your work.​

perimeter of a triangle = AB+AC+BC

Using the distance formula

AB = sqrt(-2-5)²+(2-2)²

AB = sqrt(-7)²

AB =sqrt(49)

AB =7

BC = sqrt(-2+2)²+(2-5)²

BC = sqrt(0+3²)

BC =sqrt(9)

BC =3

AC= sqrt(-2-5)²+(2-5)²

AC= sqrt(-7)²+3²

AC =sqrt(49+9)

AC =sqrt58

Perimeter = 10+sqrt58

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The x-coordinate of the solution to this system of equations is <u>1</u>.

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Given,

6x - 5y = 5\\\\3x + 5y = 4

We have to find out the x-coordinate of the equation.

Solution,

Let 6x-5y=5\ \ \ \ equation\ 1

Again let 3x+5y=4\ \ \ \ \ equation \ 2

Now using elimination method we will solve the equations.

For this we will add equation 1 and equation 2 and get;

(6x-5y)+(3x+5y)=5+4\\\\6x-5y+3x+5y=9\\\\9x=9

Now on dividing both side by '9' we get;

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Step-by-step explanation:

Given

End 1: (-6,2)

Midpoint: (5,2)

Required

Find the coordinates of the other end

Let Midpoint be represented by (x,y);

(x,y) = (5,2) is calculated as thus

(x,y) = (\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})

So

x = \frac{x_1 + x_2}{2} and y = \frac{y_1 + y_2}{2}

Where (x_1,y_1) = (-6,2) and (x,y) = (5,2)

So, we're solving for (x_2,y_2)

Solving for x_2

x = \frac{x_1 + x_2}{2}

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Multiply both sides by 2

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Add 6 to both sides

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Solving for y_2

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Substitute 2 for y and 2 for y₁

2 = \frac{2 + y_2}{2}

Multiply both sides by 2

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Subtract 2 from both sides

4 - 2 = 2 - 2 + y_2

y_2 = 2

(x_2,y_2) = (16,2)

Hence, the coordinates of the other end is (16,2)

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3 years ago
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