preciouspitt82 preciouspitt82
  • 03-01-2018
  • Mathematics
contestada

Find the expression that represents the length of the hypotenuse of a right triangle whose legs measure m^2-n^2 and 2mn

Respuesta :

altavistard
altavistard altavistard
  • 12-01-2018
(side 1)^2 + (side 2)^2 = hyp^2
 [m^2-n^2]^2  +  [2mn]^ = hyp^2

Then 

  m^4 - 2m^2n^2 + n^4 + 4m^2n^2 = hyp^2

m^4 + 2m^2n^2 + n^4 = hyp^2

Then hyp = +sqrt(m^4 + 2m^2n^2 + n^4) = +(m^2 + n^2)   (answer)
Answer Link

Otras preguntas

How would you categorize the following claim from the article “The Controversy Surrounding School Gardens”? Opponents think that “foodies,” people who are stron
Define these terms: Bureau Of Indian Affairs Indian Wars Lakota Little Big Horns Native American Nativism Plains Red Cloud Reservation Wounded Knee
what is the meaning of the word verify as it is used in paragraph 7
Hey guys I need help with these questions on my test these are my questions I have not done it ***there are 4 pics I put***
You are at a restaurant and the check comes to a total of $75. If you want to leave an 18% tip, how much total money should you pay, to the nearest cent?​
what the square root of 2000
Find the side length of the square 16x2 +56x +49
Which of the 3 things did George Washington NOT warn us about? 1.Agreements with foreign nations could work against the United States best interests 2.American
Find the length of the line segment formed by the points (2, 3) and (2, 5)
3. How did the lives of women change during the Tang and Song dynasties?