Without using distance formula show that the points (0,0);(5,5);(-5,5) are vertices of a right angled triangle

Asked by lovemaan5500 | 18th Jan, 2018, 01:16: PM

Expert Answer:

begin mathsize 16px style Let space straight A space left parenthesis 0 comma 0 right parenthesis comma space straight B left parenthesis 5 comma 5 right parenthesis space and space straight C left parenthesis negative 5 comma 5 right parenthesis
Slope space of space AB equals fraction numerator 5 minus 0 over denominator 5 minus 0 end fraction equals 1
Slope space of space line space AC equals fraction numerator 5 minus 0 over denominator negative 5 minus 0 end fraction equals negative 1
Slope space of space AB cross times Slope space of space AC equals negative 1
Hence comma space AB perpendicular AC
increment ABC space is space right space angled space triangle space at space straight A. space end style

Answered by Sneha shidid | 18th Jan, 2018, 02:33: PM