Answered

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triangle 1 has side lengths of 3x, 6, and -4x + 32triangle 2 has side lengths of 3x, 8, and 10x - 28if x=2 which triangle has the greatest perimeter

Sagot :

Answer

Triangle 1 has the bigger perimeter.

Explanation

The perimeter of a figure is the sum of the exterior sides of the figure.

Triangle 1 has lengths of 3x, 6 and -4x + 32

Triangle 2 has lengths of 3x, 8 and 10x - 28

The perimeters now,

For triangle 1

Perimeter = 3x + 6 + (-4x + 32)

= 3x + 6 - 4x + 32

= -x + 38

where x = 2

-x + 38 = -2 + 38 = 36

For triangle 2

Perimeter = 3x + 8 + 10x - 28

= 13x - 20

where x = 2

13x - 20 = 13 (2) - 20 = 26 - 20 = 6

We can see that triangle 1 has the bigger perimeter.

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