Question

Dylan has a square piece of metal that measures 10 inches on each side it's the middle along the diagonal forming to right triangles what is the length of the hypotenuse to the nearest 10th of an inch?

Answer 1

Pythagoras theorem
a^2 + b^2 = c^2
10^2 + 10^2 = c^2
200 = c^2
Root(200) = c
c = 14.1 to the nearest tenth of an inch

Answer 2

14.1 inch. is the length of the hypotenuse to the nearest 10th of an inch.

What is Pythagorean theorem?

Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle)—or, in familiar algebraic notation, a2 + b2 = c2.

here, we have,

Pythagoras theorem

a^2 + b^2 = c^2

10^2 + 10^2 = c^2

200 = c^2

Root(200) = c

c = 14.1 to the nearest tenth of an inch

hence, 14.1 inch. is the length of the hypotenuse to the nearest 10th of an inch.