briannahernandez1215
Answered

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

Sagot :

thebecks

Answer:

13.9

Step-by-step explanation:

7² x 12² = 49 + 144 = 193

√193= 13.89

pjwhite
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
View image pjwhite
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