Question

Dylan has a square piece of metal that measures 14 inches on each side. He cuts the metal

along the diagonal, forming two right triangles. What is the length of the hypotenuse of
each right triangle to the nearest tenth of an inch?
The length of the hypotenuse of each right triangle is
inches.

Answer 1

The length of the hypotenuse of each right triangle is approximately 19.8 inches. To find the length of the hypotenuse, we can use the Pythagorean theorem.

Step-by-step explanation:

The length of the hypotenuse of each right triangle is approximately 19.8 inches.

To find the length of the hypotenuse (c), we can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. In this case, we have a right triangle with legs of length 14 inches. Using the Pythagorean theorem, we can calculate the length of the hypotenuse as follows:

c^2 = a^2 + b^2

c^2 = 14^2 + 14^2

c^2 = 196 + 196

c^2 = 392

c = √392

c ≈ 19.8 inches