A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 5 years ago
the hypotenuse of a right triangle is 3m more than twice the short leg. the longer leg is 2m more than twice the shorter leg. find the lengths of the sides?
anonymous
 5 years ago
the hypotenuse of a right triangle is 3m more than twice the short leg. the longer leg is 2m more than twice the shorter leg. find the lengths of the sides?

This Question is Closed

myininaya
 5 years ago
Best ResponseYou've already chosen the best response.0s=short leg h=hypotenuse l=other leg h=3+2s l=2+2s right triangle use Pythagorean thm so h^2=l^2+s^2 (3+2s)^2=(2+2s)^2+s^2 solve for s

myininaya
 5 years ago
Best ResponseYou've already chosen the best response.09+2*3*2s+4s^2=4+2*2*2s+4s^2+s^2 9+12s+4s^2=4+8s+4s^2+s^2 4s^24s^2s^2+12s8s+94=0 s^2+4s+5=0 s^24s5=0 (s5)(s+1)=0 s=5 s=1

myininaya
 5 years ago
Best ResponseYou've already chosen the best response.0but a leg cannot have length 1 so s=5 is the shorter leg if s=5, then h=3+2(5)=13 and l=2+2(5)=12 we can check h^2=s^2+l^2 does it? 13^2=5^2+12^2 169=25+144 169=169 so done! everything checks out!
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.