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

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

Why were the 1920's considered the best and worst of times?

why can parents who are heterozygous for type a and type b blood have children with any of the four human blood types?

Luke made a model that has 1 circular base and 1 curved surface.what solid figure did he make

Newtons third law of motion is also known as the law of ?

What sorts of signals does the brain use to communicate sensations, thoughts and actions?

State two ways in which a single-celled organism, such as amoeba, and a human body are alike?

Which is the same as 0.08? A) 80% B) 80/100 C) 8% D) 0.8

What is a communicable disease ?

when we look at a leaf, we see the colors of light that are reflected off its surface. how does the relatively low flow of oxygen in green light?

Morgan found a stone arrowhead. He measured it three times. He measured it as 2 inches to the nearest inch, to the nearest 1/2 inch, and to the nearest 1/4 inch