Use the Pythagorean Theorem to solve the problem. Use your calculator to find square roots, rounding, if necess he nearest tenth. 5) A square sheet of paper measures 25 centimeters on each side. What is the length of the diagonal of 5) this paper? A) 1250 cm B) 50 cm D) 34 cm C) 25 cm
Use the Pythagorean Theorem to solve the problem. Use your calculator to find square roots, rounding, if necess he nearest tenth. 5) A square sheet of paper measures 25 centimeters on each side. What is the length of the diagonal of 5) this paper? A) 1250 cm B) 50 cm D) 34 cm C) 25 cm
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
A square sheet of paper measures 25 centimeters on each side. What is the length of the diagonal of this paper?
![**Problem:**
Use the Pythagorean Theorem to solve the problem. Use your calculator to find square roots, rounding if necessary to the nearest tenth.
5) A square sheet of paper measures 25 centimeters on each side. What is the length of the diagonal of this paper?
Options:
- A) 1250 cm
- B) 50 cm
- C) 25 cm
- D) 35.4 cm
**Explanation:**
To find the diagonal of a square, use the Pythagorean Theorem, \( a^2 + b^2 = c^2 \), where \( a \) and \( b \) are the sides and \( c \) is the diagonal.
For a square, \( a = b = 25 \) cm.
Calculate:
\[ 25^2 + 25^2 = c^2 \]
\[ 625 + 625 = c^2 \]
\[ 1250 = c^2 \]
\[ c = \sqrt{1250} \]
Using a calculator, find:
\[ c \approx 35.4 \, \text{cm} \]
Thus, the length of the diagonal of the paper is approximately 35.4 cm, corresponding to option D).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff483ac81-a559-4957-8a20-1341dbf0c651%2Fd03cf024-e049-4baa-baa9-929eee36909d%2Fnsjnbpb_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem:**
Use the Pythagorean Theorem to solve the problem. Use your calculator to find square roots, rounding if necessary to the nearest tenth.
5) A square sheet of paper measures 25 centimeters on each side. What is the length of the diagonal of this paper?
Options:
- A) 1250 cm
- B) 50 cm
- C) 25 cm
- D) 35.4 cm
**Explanation:**
To find the diagonal of a square, use the Pythagorean Theorem, \( a^2 + b^2 = c^2 \), where \( a \) and \( b \) are the sides and \( c \) is the diagonal.
For a square, \( a = b = 25 \) cm.
Calculate:
\[ 25^2 + 25^2 = c^2 \]
\[ 625 + 625 = c^2 \]
\[ 1250 = c^2 \]
\[ c = \sqrt{1250} \]
Using a calculator, find:
\[ c \approx 35.4 \, \text{cm} \]
Thus, the length of the diagonal of the paper is approximately 35.4 cm, corresponding to option D).
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