Question

Find the perimeter of triangle XYZ
please give me a detailed explanation for this!

Answer 1

≈ 14,8

Explanation:

We have X(1 ; 6) ; Y(3 ; 1) and Z(6 ; 3)

XY = √((3 - 1)² + (1 - 6)²)

XY = √((2)² + (-5)²)

XY = √(4 + 25)

XY = √29

XZ = √((6 - 1)² + (3 - 6)²)

XZ = √((5)² + (-3)²)

XZ = √(25 + 9)

XZ = √34

YZ = √((6 - 3)² + (3 - 1)²

YZ = √((3)² + (2)²)

YZ = √(9 + 4)

YZ = √13

We have p = √29 + √34 + √13 ≈ 14,8 ⇒ answer D