HELP! Find the area of a square with a diagonal of length 12.
2 answers:
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 =
can be simplied as
·
·
which is 3·2·
each side has a length of 6
A = (6)² which is 6·6·2 or 72
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x =
using the ' laws of exponents '
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• ()^n =
×
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÷
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equating the exponents since bases on both sides are 7
4x = 5 - 3x
7x = 5 ⇒ x =