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The triangle below has a perimeter of 62.5 m to 3 s.f. The two side lengths shown have been given to 3 s.f. Work out the lower and upper bounds of the length of the unknown side.Give your answers in metres (m) to 3 s.f.

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The boundaries of the length of the unknown side is 29.5 m to 29.6 m

How to determine the boundaries of the length of the unknown side

From the question, we have the following parameters that can be used in our computation:

Perimeter, P = 62.5 m to 3 s.f.

We have that

The two side lengths are given to 3 s.f

Where, we have

26.7 m and 6.25 m

The boundaries are then computed as follows

Perimeter = 62.45 m to 62.54 m

Side lengths = 26.65 m to 26.74 m and 6.245 m to 6.254 m

The length of the unknown side is

Unknown = Perimeter - Sum of other side lengths

So, we have

Unknown = 62.45 - 26.65 - 6.245 to 62.54 - 26.74 - 6.254

Evaluate

Unknown = 29.555 to 29.546

Approximate

Unknown = 29.6 to 29.5

Rewrite as

Unknown = 29.5 to 29.6

Hence, the boundaries of the length of the unknown side is 29.5 m to 29.6 m

The triangle below has a perimeter of 62.5 m to 3 s.f. The two side lengths shown-example-1
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