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The diagonal of a rectangle is 25 in. The width is 15 inches. What is the length

User Kaylee
by
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1 Answer

3 votes

Answer:

a= 20

Explanation:

We can use the Pythagorean theorem to solve

a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse

The diagonal is the hypotenuse and the length and width are the legs

a^2 + 15^2 =25^2

a^2 +225 = 625

Subtract 225 from each side

a^2+225-255=625-225

a^2 = 400

Take the square root of each side

sqrt(a^2) =sqrt(400)

a = 20

User Vinicius Miana
by
3.4k points