alarm
Ask a question
Math
Cambridge

Show that the point A(7,10),B(-2,5) and C(3,-4) are the vertics of a right angle triangle.​

answers: 1
Register to add an answer
Answer:
Answer:

by distance formula,

AB= √(-2-7)^2+(5-10)^2

= √81+25

= √106

BC= √(3+2)^2+(-4-5)^2

= √25+81

= √106

AC= √(3-7)^2+(-4-7)^2

= √16+196

= √ 212

By Pythagoras theorem,

AB^2 + BC^2= 106+106= 212 => AC^2

Therefore, ΔABC is a right-angle triangle.

I HOPE THE ANSWER IS HELPFUL...

451
Guadalupe
For answers need to register.
223
cents
The time for answering the question is over
Contacts
mail@expertinstudy.com
Feedback
Expert in study
About us
For new users
For new experts
Terms and Conditions