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3 years ago

Any help? Explanation would help massively too! Work out the length of AB

Mathematics

2 answers:

____ [38]3 years ago

5 0

Answer:

Exact length = 2*sqrt(137) cm

Approximate length = 23.409 cm

====================================================

Work Shown:

Use the Pythagorean theorem

a^2 + b^2 = c^2

8^2 + 22^2 = c^2

64 + 484 = c^2

548 = c^2

c^2 = 548

c = sqrt(548)

c = sqrt(4*137)

c = sqrt(4)*sqrt(137) ..... use the rule sqrt(x*y) = sqrt(x)*sqrt(y)

c = 2*sqrt(137) .... this is the exact length

c = 23.4093998214392 ... use your calculator to find the approximate length

c = 23.409

I rounded to three decimal places, but feel free to round however you want. Or be sure to follow any rounding instructions your teacher provides.

german3 years ago

4 0

The answer is the square root of 548

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Have a nice day!

I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.

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