briannahernandez1215
briannahernandez1215 briannahernandez1215
  • 01-04-2021
  • Mathematics
contestada

A rectangle is 7 ft by 12 ft. Find the length of its diagonal. Round to the nearest tenth.

Respuesta :

thebecks
thebecks thebecks
  • 01-04-2021

Answer:

13.9

Step-by-step explanation:

7² x 12² = 49 + 144 = 193

√193= 13.89

Answer Link
pjwhite
pjwhite pjwhite
  • 01-04-2021
Divide the rectangle into two right triangles, like in the photo

you now have two congruent right triangles with 7ft and 12ft long legs

Use the pythagorean theorem to find the missing diagonal length (aka hypotenuse)

7^2 + 12^2 = c^2

49 + 144 = c^2

c^2 = 193

Square root both sides to get rid of the ^2

c = 13.9 ft
Ver imagen pjwhite
Answer Link

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