What is the value of x, the side length of the smallest square (please show work) Thanks!

Mathematics

1 answer:

Ratling [72]3 years ago

7 0

Answer:

8 cm

Step-by-step explanation:

Ok lets on the biggest square we have 17 cm

17cm is the hypotenuse for the right triangle

The second largest's area is 225 cm^2

Sq root of 225 cm^2, is 15

To find x, lets plug the info we have to the pythagorean theorom

$a^2 + b^2 = c^2\\a^2 + 15^2 = 17^2\\a^2 + 225 = 289\\\\289 - 225 = a^2\\64=a^2\\a = 8 cm$

The side length of the smallest Square is 8 cm

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-Chetan K

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