Respuesta :

AB = 15, AC   = 14, BC = 8  

PQ = 8 , QR = 24,  PR = 8

The perimeter is the distance around the object. For example, your house has a fenced yard. The perimeter is the length of the fence. If the yard is 50 ft × 50 ft your fence is 200 ft long.

Perimeter of Δ ABC = Length of AB + Length of BC + Length of AC.

Perimeter of ΔABC = (2x + 7) + (2x) + (2x + 6) = 6x + 13

Perimeter of ΔPQR = (2x) + (3x + 9) + (2x) = 7x + 9

So, 6x + 13 = 7x + 9

 Therefore, x = 4

AB = 2(4) + 7 = 15             PQ = 2(4) = 8

AC = 2(4)+6     = 14          QR = 3(5) + 9 = 24

BC = 2(4)  = 8                    PR = 2(4) = 8

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