× Didn't find what you were looking for? Ask a question
Top Posters
Since Sunday
a
5
k
5
c
5
B
5
l
5
C
4
s
4
a
4
t
4
i
4
r
4
r
4
Home Q & A Board Science-Related Homework Help Mathematics
New Topic  
irina irina
wrote...
solved
Posts: 919
Rep: 26 0
11 years ago
if you are solving for B, and C= 14, and A= 5

using the Pythagorean Theorem, ( a^2 + b^2 = c^2 )

how can you do this? please explain!
Read 739 times
9 Replies

Related Topics

Replies
wrote...
#1
11 years ago
5^2 + b^2 = 14^2
25 + b^2 = 196
b^2 = 171
b is approximately 13
wrote...
#2
11 years ago
5^2=25
14^2=196

196-25=171

sqrt of 171 =13.076696830622020656710945951579

B= approx. 13.1
wrote...
#3
11 years ago
5^2+b^2=14^2
25+b^2=196
b^2=196-25=171
b=?(171)?13.1
wrote...
#4
11 years ago
13=b
a^2 + b^2 = c^2
5^2+13^2=14^2
(5x5) + (13x13) = (14x14)
25 + 171 = 196
wrote...
#5
11 years ago
5^2 + b^2 = 14^2
25 + b^2 = 196
b^2 = 196-25
b= 13.08
wrote...
#6
11 years ago
|\          
   |_\
   |__\
   |___\
|B___\   C = 14
   |_____\
   |______\
   |_______\
       A = 5
Simply plug into the equation:
a^2 + b^2 = c^2
5^2 + b^2 = 14^2
25 + b^2 = 196
      -25         -25
b^2 = 171
?(b^2) = ?(171)   <=== Square Root Both Sides
b = 13.076697     <=== Approximate Answer
wrote...
#7
11 years ago
a^2+b^2=c^2
first you plug in everything to the equation.
5^2+B^2=14^2
then you figure out what a and c are.
25+b^2=196
after that you subtract a from c.
196-25= 171
c-a=b
now you check to see if this is correct.
25+171=196
and lastly you find the square root of each # and pu tit back in the equation.
5^2+13.08^2=14
There you go. !
wrote...
#8
11 years ago
Put your known quantities on one side of the equation:

a^2 - c^2 = -b^2 (subtracting c^2 and b^2 from both sides maintains the equality of the equation)

c^2 - a^2 = b^2

(14)^2 - (5)^2 = b^2

196 - 25 = b^2

171 = b^2

sqrt(171) = b

b = 13.077
wrote...
#9
11 years ago
Assuming c is hypotenuse:-
c² = 5² + b²
14² = 5² + b²
b² = 14² - 5²
b² = (14 - 5)(14 + 5)
b² = 9 x 19
b² = 171
b = 13.1

PS
Use lower case letters for sides and upper case letters for angles is the usual convention.
New Topic      
Quick Reply
Explore
Post your homework questions and get free online help from our incredible volunteers
  1228 People Browsing
 125 Signed Up Today
Start New Topic Take the Tour CoursesNew Study Tools Topics Trending Browse by Textbook
Live Chat
Related Images
  
 1126
  
 320
  
 238
Your Opinion
Which industry do you think artificial intelligence (AI) will impact the most?
Votes: 352
Previous poll results: Do you believe in global warming?