Solve. The perimeter of a triangle is 50 centimeters. Find the lengths of its sides, if the longest side is 8 centimeters longer than the shortest side, and the remaining side is 3 centimeters longer than the shortest side.​

Respuesta :

Answer:

The side lengths are 84, 63 and 28

Step-by-step explanation:

The shortest side of a triangle is 13 cm.

How to estimate the shortest side of a triangle?

Let x be the longest side

y be the shortest side

z be the other side

x + y + z = 50 ...........(1)

x = y + 8 ...........(2)

z = y + 3 ............(3)

Replace x with y+8 in equation 1

Replace z with y + 3 in equation 1

To estimate the value for y,

(y+8) + y + (y+3) = 50

Simplifying the above equation, we get

3y + 11 = 50

3y = 50-11

3y = 39

y = 39/3

y = 13 cm

Therefore, the shortest side of a triangle is 13 cm.

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