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

Some one please help
I’m not really sure how to solve this problem so can someone help? Find the area of the shaded region?
Which statement accurately describes the chemical symbol of an element?
Kathy is a repair technician for a phone company. each week, she receives a batch of phones that need repairs. the number of phones that she has left to fix at
The bantu and arabic languages blended, creating what new language?
what does the purpose of a writing mean
Where should the breastplate on the restraint straps rest in the infant?
When charles meg and calvin appeared out of the darkness where were they?
It is 76 miles from waterton to middleton. it is 87 miles from middleton to oak hill. driving directly, it is 134 miles from waterton to oak hill. it is 39 m
Si no buscas trabajo pronto, ____ que trabajar para tu padre. tendrás tenías