Question

Find the expression that represents the length of the hypotenuse of a right triangle whose legs measure 2004-04-01-02-00_files/i0350000.jpgand 2004-04-01-02-00_files/i0350001.jpg.

A.
2004-04-01-02-00_files/i0350002.jpg
B.
2004-04-01-02-00_files/i0350003.jpg
C.
2004-04-01-02-00_files/i0350004.jpg
D.
2004-04-01-02-00_files/i0350005.jpg

Answer 1

Do you think you can add the pictures on here?

Answer 2

On this

Answer 3

Yes thank you

Answer 4

oh ok

Answer 5

Pythagorean Theorem
a2+b2=c2

a and b are the legs, so we just substitute that into the equation

(2x2-y2)2+(2xy)2=c2

First simplify the legs (a and b)
=(2x2−y2)2 =4x4−4x2y2+y4
=(2xy)2 =4x2y2

So we now have

(4x4−4x2y2+y4)+4x2y2

Combine like terms

4x4−4x2y2+y4+4x2y2
=4x4+y4

So we have

4x4+y4=c2

Now we take the square root on both sides

c=4x4+y4−−−−−−−√

Which happens to be A

Answer 6

Does that make sense?