Question

Perimeter of por with vertices p(-2,9) o(7,-3) and r(-2,-3) in the coordinate plane

Answer 1

Answer: the correct answer is 36

Explanation:

took the test got %100

Answer 2

Use the distance formula to find the length of the sides and sum them up

`|PO|= \sqrt{(7 - - 2) {}^(2) + ( - 3 - 9) {}^(2) }`

`|PO|= \sqrt{(7 + 2) {}^(2) + ( -3 - 9) {}^(2) }`

`|PO|= \sqrt{(9) {}^(2) + ( - 12) {}^(2) }`

`|PO|= √(81+ 144 )`

`|PO| = √(225)`

`|PO| = 15 \: units`
Also,


`|PR|=\sqrt{( - 2 + 2) {}^(2) + ( - 3 - 9) {}^(2) }`

`|PR|=\sqrt{( 0) {}^(2) + ( - 12) {}^(2) }`

`|PR|=√(0+ 144 )`

`|PR| = √(144)`

`|PR|=12 \: units`

And


`|OR|=\sqrt{( - 2 - 7) {}^(2) + ( - 3 + 3) {}^(2) }`

`|OR|=\sqrt{( - 9) {}^(2) + ( 0) {}^(2) }`

`|OR|=√(0+ 81 )`

`|OR|=√(81)`

`|OR|=9 \: units`

Hence perimeter triangle POR

`= 15 + 12 + 9`

`= 36 \: units`