Question

Hermina cut a ft by ft piece of plywood down the diagonal.

A rectangle is 4 feet wide and 8 feet long. A diagonal cut is shown with a line labeled c. The cut divides the rectangle in half and creates two right triangles. The hypotenuse of each right triangle is the line labeled c.

What is the length c of the cut, in feet?

Answer 1

Explanation:

80 feet

Answer 2

`√(80) = c` is the answer.

Explanation:

We can solve this using the Pythagorean theorem.

We know we can use the pythagorean theorem because it has a 90 degree angle.

`a^(2)+ b^(2)= c^(2)`

We are given the sides 4 and 8.

`4^(2) + 8^(2) = c^(2)`

`80 = c^(2) \\\\√(80) = c`

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