Question

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.

How long will each piece of wood should have a length of approximately?

Answer 1

Here, Diagonal wood would be Hypotenuse of the Triangle where two sides would be their perp. & base.

So, h² = p² + b²
h² = 12² + 24²
h² = 144 + 576
h = √720
h = 26.83

In short, Your Answer would be 26.83 Inch

Hope this helps!

Answer 2

Each piece of wood should have a length of approximately 26.832 inches.

What is the Pythagorean theorem?

The Pythagorean theorem states that the sum of the squares of the shorter sides of a right-angled triangle is equal to the square of the hypotenuse.

The rectangle can be divided into two right-angled triangles which are the same in every way.

We can use the Pythagorean theorem to find the value of the hypotenuse which is the same as the diagonal of the rectangle.

It can find the value of diagonal as shown below:

Diagonal = √( (24)² + (12)² ) inches

= √(576 + 144) inches

= √720 inches

= 26.832 inches

Thus, we have found that each piece of wood should have a length of approximately 26.832 inches.

Learn more about the Pythagorean theorem here: https://brainly.com/question/343682

#SPJ2