221k views
3 votes
Dylan has a square piece of metal that measures 17 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?

2 Answers

6 votes

Answer:

24 square inches

Explanation:

User Momobo
by
3.3k points
4 votes

Answer:

24 Inch

Explanation:

When the square piece of metal is cut along the diagonal, it forms two right triangles where each of the right triangle has legs of 17 inches.

To determine the length of the hypotenuse, we use the Pythagorean Theorem.


\text{Pythagoras Theorem}: Hypotenuse^2=Opposite^2+Adjacent^2\\Hypotenuse^2=17^2+17^2\\Hypotenuse^2=289+289\\Hypotenuse^2=578\\Hypotenuse=√(578) \\=24.04\\\approx 24$ inch ( to the nearest tenth of an inch)

User Jackdbernier
by
3.5k points