How do you find the perimeter of a triangle whose coordinates are X(0,2), Y(4,-1), Z(-2,-1)?

Jaylyn Gibson

Jaylyn Gibson

Answered question

2022-08-13

How do you find the perimeter of a triangle whose coordinates are X(0,2), Y(4,-1), Z(-2,-1)?

Answer & Explanation

Dominic Paul

Dominic Paul

Beginner2022-08-14Added 17 answers

You can use Pythagorus' Theorem ( a 2 + b 2 = c 2 ) to find the lengths of the sides.
Therefore the length of side XY is
( 4 - 0 ) 2 + ( ( - 1 ) - 2 ) 2 = 4 2 + ( - 3 ) 2 = 16 + 9 = 25 = 5
Side YZ:
( ( - 2 ) - 4 ) 2 + ( ( - 1 ) - ( - 1 ) ) 2 = ( - 6 ) 2 + 0 2 = 36 = 6
Side XZ:
( ( - 2 ) - 0 ) 2 + ( ( - 1 ) - 2 ) 2 = ( - 2 ) 2 + ( - 3 ) 2 = 4 + 9 = 13
Perimeter = XY + YZ + XZ = 5 + 6 + 13 = 11 + 13

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