show that the point (2,0),(-2,0)and(0,2) are the vertices of a triangle .also state with reason the type of the triangle
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The distance between the two points a=(ax,ay) and b=(bx,by) is (ax−bx)2+(ay−by)2−−−−−−−−−−−−−−−−−−√
This gives us (3−0)2+(2−5)2−−−−−−−−−−−−−−−√=32+(−3)2−−−−−−−−−√=18−−√=32–√ as the distance between (3,2) and (0,5), similar the distance between (0,5) and (−3,2) is also 32–√ and the distance between (−3,2) and (0,−1) is with (−3−0)2+(2−(−1))2−−−−−−−−−−−−−−−−−−−√=(−3)2+32−−−−−−−−−√=…=32–√ too.
Similar the distance from (0,−1) back to (3,2) is 32–√ a fourth time
Step-by-step explanation:
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