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kati45 [8]
3 years ago
7

A rectangle with sides 12 cm and 14 cm has the same diagonal as a square.

Mathematics
1 answer:
adelina 88 [10]3 years ago
8 0

Answer:

Length of side of square=\sqrt{170}

Step-by-step explanation:

Sides of rectangle=12,14\ cm

let x be diagonal of rectangle

<u><em>Pythagorean theorem : The square of hypotenuse is equal to sum of square of sides.</em></u>

Here hypotenuse =x

x^{2} =12^{2}+14^{2}\\x^{2} =144+196\\x^{2} =340\\x=\sqrt{340}

Diagonal of square =\sqrt{340}

let side of square=a

again use pythagorean theorem

340=a^{2}+a^{a}\\2a^{2}=340\\a^{2}=170\\a=\sqrt{170}

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Step-by-step explanation:

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hammer [34]

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Step-by-step explanation:

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