Question

To make a home plate for a neighborhood baseball park, we can cut the plate from a square, as shown in the figure to the right. If A, Band C are midpoints of the sides of the square, what are the dimensions of the square to the nearest tenth of an inch?

Answer 1

Given

The figure is given where A,B ,C are midpoints of sides of square.

The length of the AB is 19 in. and BC=19in.

Step-by-step explanation

To determine the side of square.

The midpoints of sides of square is divide the side into two equal parts.

Therefor apply the Pythagoras theorem to determine the half length of side of square.

Let the half length is x.

`\begin{gathered} 19^2=x^2+x^2 \\ 361=2x^2 \\ x^2=(361)/(2) \\ x=√(180.5) \\ x=13.4 \end{gathered}`

Then the side of square is 2 times the half length of side of square.

`2*13.4=26.8in`Answer

Hence the each side of square is 26.8 in.