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Abigail uses a table saw to cut a piece of plywood from one corner to the opposite corner. If the piece of plywood measured $16$ inches by $12$ inches, how long was the cut that Abigail made? $\newline$ _____ inches

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Pythagorean theorem: word problems

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Q. Abigail uses a table saw to cut a piece of plywood from one corner to the opposite corner. If the piece of plywood measured

16

inches by

12

inches, how long was the cut that Abigail made?

\newline

_____ inches

Identify dimensions and diagonal: Identify the dimensions of the plywood and the diagonal cut as the hypotenuse of a right triangle. The plywood measures $16$ inches by $12$ inches.
Apply Pythagorean Theorem: Apply the Pythagorean Theorem: $(\text{Leg1})^2 + (\text{Leg2})^2 = (\text{Hypotenuse})^2$ . Here, $\text{Leg1} = 16$ inches, $\text{Leg2} = 12$ inches.
Calculate squares of legs: Calculate the squares of the legs: $16^2 = 256$ , $12^2 = 144$ .
Add squares of legs: Add the squares of the legs: $256 + 144 = 400$ .
Solve for hypotenuse: Solve for the hypotenuse: $\sqrt{400} = 20$ inches. So, the diagonal cut is $20$ inches long.

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