anonymous
  • anonymous
The difference between the length of the hypotenuse and the length of the next longest side of a right triangle is 3 cm. The difference between the lengths of the two perpendicular sides is 3 cm. Find the three side lengths.
Mathematics
katieb
  • katieb
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get this expert

answer on brainly

SEE EXPERT ANSWER

Get your free account and access expert answers to this
and thousands of other questions

anonymous
  • anonymous
I don't get it..
TuringTest
  • TuringTest
call the hypotenuse length x:|dw:1329352306450:dw|use the Pythagorean theorem:\[x^2=(x-3)^2+(x-6)^2\]and solve for x.
anonymous
  • anonymous
why is it x-3, and x-6?

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

anonymous
  • anonymous
as The difference between the lengths of the two perpendicular sides is 3 cm
anonymous
  • anonymous
So once I get: \[(x ^{2}-6x+9)(x ^{2}-12x+36)\]
anonymous
  • anonymous
what do I do after?
anonymous
  • anonymous
utzz...rong u r missin +sign in between
anonymous
  • anonymous
\[(x ^{2}-6x+9)+(x ^{2}-12x+36)=x ^{3}\]
anonymous
  • anonymous
ohh, yup I put that now. And so I add to: 2x^2 - 18x + 45?
anonymous
  • anonymous
imean....x^2
anonymous
  • anonymous
equate to x^2
anonymous
  • anonymous
huh?
anonymous
  • anonymous
so the equation becomes....... 2x^2 - 18x + 45=x^2
anonymous
  • anonymous
hence 2x^2 - 18x + 45-x^2=0
anonymous
  • anonymous
x^2 - 18x + 45?
anonymous
  • anonymous
x^2 - 18x + 45=0
anonymous
  • anonymous
=> (x-3)(x-15)=0
anonymous
  • anonymous
hence x=3 or x=15
anonymous
  • anonymous
got it?/
TuringTest
  • TuringTest
...and since x=3 will not produce a triangle we have x=15
anonymous
  • anonymous
yeah right...
anonymous
  • anonymous
ohh..

Looking for something else?

Not the answer you are looking for? Search for more explanations.