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Westkost [7]
3 years ago
15

HELP! Find the area of a square with a diagonal of length 12.

Mathematics
2 answers:
natima [27]3 years ago
7 0

Answer:

72 square units

Step-by-step explanation:

you can use the Pythagorean Theorem; because we're dealing with a square then each side can be assigned the same variable, let's use 'a'

a² + a² = 12²

2a² = 144

a² = 72

a = \sqrt{72}

\sqrt{72} can be simplied as \sqrt{9}·\sqrt{4}·\sqrt{2} which is 3·2·\sqrt{2}

each side has a length of 6\sqrt{2}

A = (6\sqrt{2})² which is 6·6·2 or 72

Rina8888 [55]3 years ago
5 0

Answer:

6

Step-by-step explanation:

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