Question

prove that the points (0,0) ; (5,5) ; and (-5, 5) are the vertices of a right isosceles triangle. ​

Answer 1

Answer:

PROVED BELOW

Step-by-step explanation:

by distance formula,

on points (0, 0), (5, 5)

√5-0)^2+(5-0)^2=√25+25=5√2 units

on points (5, 5), (-5, 5)

√(-5-5)^2+(5-5)^2=√100=10 units

on points (-5, 5), (0, 0)

√(-5-0)^2+(5-0)^2=√25+25=5√2 units

now distance of points (0, 0), (5, 5) and points (-5, 5), (0, 0) are same so they are equal

Hece we can say "points (0,0) ; (5,5) ; and (-5, 5) are the vertices of a right isosceles triangle."

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Answer 2

this is your answer

thanks