asked 40.5k views
1 vote
A rectangle is 7 ft by 12 ft. Find the length of its diagonal. Round to the nearest tenth.

asked
User Dyane
by
8.4k points

2 Answers

3 votes
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
A rectangle is 7 ft by 12 ft. Find the length of its diagonal. Round to the nearest-example-1
answered
User TrueBlue
by
7.4k points
3 votes

Answer:

13.9

Explanation:

7² x 12² = 49 + 144 = 193

√193= 13.89

answered
User Mayank Gupta
by
7.8k points

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