A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 4 years ago
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.
anonymous
 4 years ago
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.

This Question is Closed

TuringTest
 4 years ago
Best ResponseYou've already chosen the best response.1call the hypotenuse length x:dw:1329352306450:dwuse the Pythagorean theorem:\[x^2=(x3)^2+(x6)^2\]and solve for x.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0why is it x3, and x6?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0as The difference between the lengths of the two perpendicular sides is 3 cm

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0So once I get: \[(x ^{2}6x+9)(x ^{2}12x+36)\]

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0utzz...rong u r missin +sign in between

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0\[(x ^{2}6x+9)+(x ^{2}12x+36)=x ^{3}\]

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0ohh, yup I put that now. And so I add to: 2x^2  18x + 45?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0so the equation becomes....... 2x^2  18x + 45=x^2

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0hence 2x^2  18x + 45x^2=0

TuringTest
 4 years ago
Best ResponseYou've already chosen the best response.1...and since x=3 will not produce a triangle we have x=15
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.