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

What does Mercutio do when he encounters Tybalt?
In an oil spill, why does the oil not mix with the sea water
John's parents purchased their first home in the 1980s with a 30-year mortgage at 17.5%. Their home was purchased for $125,000. What was their monthly mortgage
PLEASE HELP ME....which is the unit rate​
10 over 13 as a decimal rounded to the nearest tenth
Anne has decided to write an article on the topic of uniforms. Her research question is “Why do people wear uniforms?” Here’s a paragraph from the first source
pls help i give u brainliest amd 5 stars​
Give one example of radiation
Presented below is the information for Irvine Corp.: Irvine Corp.. has prepared the following comparative balance sheets for 2020 and 2021: 2021 2020 Prepaid ex
Lauren made a large compost bin in her back yard. What is the volume of the compostbin?​