Solve the problem.
-A square sheet of paper measures 50 centimeters on each side. What is the length of the diagonal of this paper?
A) $50 \sqrt { 2 } \mathrm {~cm}$
B) $50 \mathrm {~cm}$
C) $5000 \mathrm {~cm}$
D) $100 \mathrm {~cm}$

Question

Quizplus · Accepted Answer

The diagonal of a square can be found using the Pythagorean theorem, which states that the sum of the squares of the legs (the sides adjacent to the right angle) is equal to the square of the hypotenuse (the diagonal). In this case, each side of the square is 50 cm, so the legs are both 50 cm. Thus, applying the Pythagorean theorem, we get:

$ 	ext{diagonal}=\sqrt{50^2+50^2}=\sqrt{5000} = 50\sqrt{2} $

Therefore, the answer is choice A.

Solve the Problem 502 cm50 \sqrt { 2 } \mathrm {~cm}502​ cm B) 50 cm50 \mathrm {~cm}50 cm

Solve the Problem $50 \sqrt { 2 } \mathrm {~cm}$ B) $50 \mathrm {~cm}$