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

Ryan’s unpaid credit card balance was $1853.68. His APR is 24.9%. What is his new balance after he makes one new transaction for $178
What name is given to the membranous sacs found within a chloroplast? A) stroma B) cristae C) thylakoids D) vesicles
John A supervisor at the local factory ,receives frequent requests from workers on how to fix the machine they use .what should John do?
Which poet first popularized the sonnet form? A. William Shakespeare B. Francesco Petrarch C. William Blake D. Sir Philip Sidney
For the equation y = 2x^2 − 5x + 18, choose the correct application of the quadratic formula. I believe it is A but I am not sure A - x equals negative five plu
Si nieto estudie la leccion. Correct or incorrect??
Is 0 a natural, integer, whole, rational, or irrational number?
HELP PLS PLS PLS PLS PLS!!!!!!!!! Aborigines first arrived on which coast of Australia?Question 9 options:A. westernB. easternC. southernD. northern
Explain plis!!!!!!!!!
What was the cause of the French Revolution? (Just need like a Paragraph or two)