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ahrayia [7]
2 years ago
13

The width of a rectangle is 4 feet and the diagonal length of he rectangle is 13 feet what is the measurement is the closest to

the length of the rectangle in feet
Mathematics
1 answer:
AURORKA [14]2 years ago
8 0

Answer:

The length is APPROXIMATELY equal to 12.4.

Step-by-step explanation:

Use the converse of the Pythagorean Theorem (a^{2}+b^{2}=c^{2} [where "c" is both the longest side and the hypotenuse]) since a rectangle's diagonals will always cut it into two right triangles:

13^{2} = 169

4^{2} =16

169-16=153.

\sqrt{153} ≈ 12

or

\sqrt{153}=12.36931688

or if the problem has to be exact (using radicals)

3*\sqrt{17}

I hope this helps ;)

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