kyedwards2005 kyedwards2005
  • 22-04-2020
  • Mathematics
contestada

The diagonal of a rectangle is 25 in. The width is 15 inches. What is the length

Respuesta :

wegnerkolmp2741o
wegnerkolmp2741o wegnerkolmp2741o
  • 22-04-2020

Answer:

a= 20

Step-by-step explanation:

We can use the Pythagorean theorem to solve

a^2+b^2 = c^2  where a and b are the legs and c is the hypotenuse

The diagonal is the hypotenuse  and the length and width are the legs

a^2 + 15^2 =25^2

a^2 +225 = 625

Subtract 225 from each side

a^2+225-255=625-225

a^2 = 400

Take the square root of each side

sqrt(a^2) =sqrt(400)

a = 20

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