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

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briannahernandez1215 briannahernandez1215

01-04-2021
Mathematics

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

Sagot :

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thebecks thebecks · Answer 1 · 2021-04-01T09:01:59-04:00

thebecks thebecks

01-04-2021

Answer:

13.9

Step-by-step explanation:

7² x 12² = 49 + 144 = 193

√193= 13.89

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pjwhite pjwhite · Answer 2 · 2021-04-01T09:03:29-04:00

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

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

Sagot :

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