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

200 divided by 4 is what?
How did european nations claim african lands?
Which of the following sentences uses the best close-up words? A. Sara is studying French and German. B. Sara is pursuing a degree. C. Sara is studying language
The president appoints new foreign ambassadors to China. According to the U.S. Constitution, what must happen before they can serve?
Read the sentence. By the time he is 60 years old, he will have collected coins for most of his life. What verb tense describes something existing or happening
cyclist were 3/4 finished with their ride when they reached the 15 kilometer mark. how long was the ride?
How much longer is 3 meters than 3 yards
9 thousands equal how many tens
Which lists the elements in order from least conductive to most conductive? A. nitrogen (N), antimony (Sb), bismuth (Bi) B. nitrogen (N), bismuth (Bi), antimony
what is the value of 1 in 58.132