Luke is planning to lay two decorative pieces of wood across the 12-inch by 24-inch rectangular glass centerpiece of a cabinet. Each piece will lie on a diagonal of the centerpiece. Select a number from the drop down menu to correctly complete the statement. Each piece of wood should have a length of approximately how many inches.

Question

Mathematics

Harper Hayes

7 September, 17:32

Luke is planning to lay two decorative pieces of wood across the 12-inch by 24-inch rectangular glass centerpiece of a cabinet. Each piece will lie on a diagonal of the centerpiece. Select a number from the drop down menu to correctly complete the statement. Each piece of wood should have a length of approximately how many inches.

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Answers (1)

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Savannah Park · Answer 1

What you are looking for is the hypotenuse of a right triangle.

If you have a 12 x 24 rectangle, these would be the sides of the triangle and we would use Pythagorean Theorem to find the hypotenuse.

a^2 + b^2 = c^2

12^2 + 24^2 = c^2

144 + 576 = c^2

720 = c^2

take the square root of both sides

c = sqrt (720)

c = 26.8 inches is the approximate answer.

I don't know what your choices are but one should be close to this answer.