Answer:

X is 13 cm

Y is 19 cm

Z is 24 cm

Step-by-step explanation:

let X = first side

Y = second side

Z = third side

Conditions:

X = Y - 6 (1)

Z = 2X - 2 (2)

56 = X + Y + Z (3)

use (1) (2) into (3)

56 = ( Y - 6 ) + Y + ( 2X - 2 )

56 = Y - 6 + Y + 2X - 2

56 + 6 + 2 = 2Y + 2X

64 = 2Y + 2X ; simplify

32 = Y + X ; Y = 32 - X (4)

substitute (4) to (1)

X = (32 - X) - 6

X = 32 - X - 6

2X = 26 ; simplify

X = 13 cm ; length of first side

use X in (1)

13 = Y - 6 ; Y = 19 cm

use X in (2)

Z = 2(13) -2

Z = 24 cm

checking

56cm = 13cm + 19cm + 24cm

56cm = 56cm

Follow me for more math solutions!