Question

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Answer 1

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

y = 32 - z

Rearrange eq. 3 and equate:

2y = x - 11, x = 2y + 11

(y + z) - 5 = 2y + 11

z - 16 = y,

32 - z = z  - 16, z = 24, y = 32 - 24 = 8, x = (24 + 8) - 5 = 27