Answer:
z = 24, y = 8, x = 27
Step-by-step explanation:
Let x, y, and z be the length of the sides respectively.
x + y + z = 59 -- (1)
x = (y + z) - 5 -- (2)
2y = x - 11 -- (3)
Substitute eq. 2 into 1:
(y + z) - 5 + y + z = 59,
2y + 2x = 64,
2(y + z) = 64,
y + z = 64/2 = 32
<u>y = 32 - z</u>
Rearrange eq. 3 and equate:
2y = x - 11, x = 2y + 11
(y + z) - 5 = 2y + 11
<u>z - 16 = y</u>,
32 - z = z - 16, z = 24, y = 32 - 24 = 8, x = (24 + 8) - 5 = 27