A community for students.
Here's the question you clicked on:
 0 viewing
Kris5
 3 years ago
Help please: Use the distance formula to show that the triangle ABC, with vertices A(1,2),B(3,2), and C(1,4), is a right triangle. Explain your reasoning.
Kris5
 3 years ago
Help please: Use the distance formula to show that the triangle ABC, with vertices A(1,2),B(3,2), and C(1,4), is a right triangle. Explain your reasoning.

This Question is Closed

lauriy
 3 years ago
Best ResponseYou've already chosen the best response.1AB(4; 4) BC(2; 2) AC(2; 6) Length of AB = sqrt(4^2 + 4^2) = sqrt(32) = 4sqrt(2) Length of BC = sqrt(2^2 + 2^2) = sqrt(8) = 2sqrt(2) Length of AC = sqrt(2^2 + 6^2) = sqrt(40) = 2sqrt(10) According to pythagoras a^2 + b^2 = c^2 if it's a right triangle. 4sqrt(2) + 2sqrt(2) = 2sqrt(10) 32 + 8 = 40 And that is true. Win.

Kris5
 3 years ago
Best ResponseYou've already chosen the best response.0Thank you. So basically, you find the distance between AB,BC, and AC. Then you plug it in the a2+b2=c2 formula?

lauriy
 3 years ago
Best ResponseYou've already chosen the best response.1Since you can only use the distances I can't really see another way. So yeah, 'a^2 + b^2 = c^2 must be true for right triangles' is basically all you need to explain imo : )
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.