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3 years ago

The first side of a triangle is 7 ft more than the third side. The second side is 1 ft shorter than 3 times

Mathematics

1 answer:

irinina [24]3 years ago

4 0

9514 1404 393

Answer:

8 ft

Step-by-step explanation:

Let t represent the length of the third side. The first side is 7 ft more, so is (t +7). The second side is 1 ft shorter than 3 times the third side, so is (3t -1). The perimeter is the sum of the side lengths:

21 = (t +7) +(3t -1) +t

21 = 5t +6

15 = 5t . . . . . . . subtract 6

3 = t . . . . . . . divide by 5

Then the length of the second side is ...

3t -1 = 3·3 -1 = 8 . . . . feet

The length of the second side is 8 feet.

_____

<em>Additional comment</em>

The first side is 3+7 = 10 ft. So the three side lengths are 10 ft, 8 ft, 3 ft.

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Step-by-step explanation:

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