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

I need help. Plz help me. Thx G.
The main functions for the large intestines is
jose drives 65 miles per hour when he travels.sherry drive 450 miles in 9 hours. which driver has a faster rate of change
: find the area of a triangle with side lengths $\frac43$, 2, and $\frac83$.
solve for x 6 - 2x = 32
Why does Roosevelt say, in the second paragraph, "Yet he also typifies the man who in this life consistently refuses to see aught that is lofty, and fixes his e
When a spacecraft is latched from earth toward the sun, at what distance from the earth will the gravitational forces due to the sun and earth cancel.
Last weekend 80 people attended the school band concert, and of them stayed for the cookies and punch. How many people stayed for cookies and punch? 107 75 60
Which of the following is an example of how Confucius's teachings were used in the Han dynasty? A. The Han emperors demanded respect from their subjects while f
HELP PLZZ ASAP BRAINYIST FOR WHOEVER ANSWERS FIRST