Python Tutorial: Find Square Root and Area of Triangle | Problem Solving In Python

In this Python tutorial, we demonstrate how to calculate the square root of a number and the area of a triangle using simple programs. This beginner-friendly project is perfect for those new to programming and looking to build their Python skills. By the end of this video, you'll have learned how to use the `math` module for mathematical calculations and how to apply formulas to solve real-world problems. Don't forget to like, share, and subscribe for more Python tutorials and projects!

**Steps of the Algorithm:**

**Square Root Calculation:**
1. **Import Math Module**: Import the `math` module to access mathematical functions.
2. **Prompt User for Number**: Use the `input()` function to prompt the user to enter a number.
3. **Convert Input to Float**: Convert the input string to a float using the `float()` function.
5. **Print the Square Root**: Use the `print()` function to display the calculated square root.

**Area of Triangle Calculation:**
1. **Prompt User for Base and Height**: Use the `input()` function to prompt the user to enter the base and height of the triangle.
2. **Convert Inputs to Float**: Convert the input strings to floats using the `float()` function.
3. **Calculate Area**: Use the formula `area = 0.5 * base * height` to calculate the area of the triangle.
4. **Print the Area**: Use the `print()` function to display the calculated area.

**Detailed Steps:**

**Square Root Calculation:**
1. **Import Math Module**:
- Use `import math` to import the `math` module, which provides the `sqrt()` function.
2. **Prompt User for Number**:
- Use the `input()` function to ask the user for a number.
3. **Convert Input to Float**:
- Use the `float()` function to convert the number from a string to a floating-point number.
4. **Calculate Square Root**:
5. **Print the Square Root**:
- Use the `print()` function to display the square root.

**Area of Triangle Calculation:**
1. **Prompt User for Base and Height**:
- Use the `input()` function to ask the user for the base and height of the triangle.
2. **Convert Inputs to Float**:
- Use the `float()` function to convert the base and height from strings to floating-point numbers.
3. **Calculate Area**:
- Use the formula `area = 0.5 * base * height` to calculate the area of the triangle.
4. **Print the Area**:
- Use the `print()` function to display the area of the triangle.

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# Copyright 2020.11.04. 신촌우왕TV수학자.천재작곡가 All rights reserved.
# Python Code: 임의의 실수(Real Number)에 대한 SQUARE ROOT 값을 구하기
# 루트 207.109의 소수점 50자리까지의 값은?
# sqrt("207.109", 50) =
# sNUM: 문자열 형식의 입력 숫자 (예: sNUM = '207.109')
# nDIGIT: 계산결과에서 원하는 소수점 이하의 자리수 (예: nDIGIT = 50)
def sqrt_by_WooKing(sNUM, nDIGIT):
u = ''

v = sNUM.split('.')

# sNUM에 '.'이 없으면
if len(v)==1:
u = v[0] + '.' + '0'*(nDIGIT*2)
elif len(v)==2:
if len(v[1])<nDIGIT*2:
u = v[0] + '.' + v[1] + '0'*( nDIGIT*2 - len(v[1]) )

# sNUM: '23.0170'
# w[0]: interger part ('23')
# w[1]: decimal part ('0170')
w = u.split('.')

N = int(w[0])

s = [0, N, '']

for i in range(nDIGIT+1):
for a in range(10 + N):
u = ((s[0])*10 + a)*a
v = ((s[0])*10 + a+1)*(a+1)

if u <= s[1] and s[1] < v:
s[2] += str(a)

s[0] = ((s[0])*10 + a) + a

idx = i*2
s[1] = int ( str(s[1] - u) + (w[1][idx:(idx+2)]) )

break

if i==0:
s[2] += '.'

# 계산 결과가 s[2]에 들어있음.
return s[2]

if __name__=='__main__':
sNUM = '207.109'
nDIGIT = 50
my_sqrt = sqrt_by_WooKing(sNUM, nDIGIT)

#
# 루트 207.109의 소수점 50자리까지의 값:
#
# <- Microsoft Windows' Calculator

[tv..]

# Copyright 2020. 신촌우왕TV수학자.천재작곡가 All rights reserved.
# 루트 2 =
# Python Code: 임의의 자연수에 대한 ROOT 값을 구하기
ROOT = 2 # ROOT 2의 값. 3으로 변경하면 ROOT 3의 값이 구해짐.
DIGIT = 50 # 소수점 아래 50자리까지 구하기

s = [0, ROOT, ""]

for i in range(DIGIT+1):
for a in range(10 + ROOT):
u = ((s[0])*10 + a)*a
v = ((s[0])*10 + a+1)*(a+1)

if u <= s[1] and s[1] < v:
s[2] += str(a)

s[0] = ((s[0])*10 + a) + a
s[1] = (s[1] - u) * 100

break

if i==0:
s[2] += "."

# 계산 결과가 s[2]에 들어있음.
print("루트 %d의 소수점 %d자리까지의 값:\n%s"%(ROOT, DIGIT, s[2]))
#print("Length: ", len(s[2]))
##
# 루트 2의 소수점 50자리까지의 값:
#