Question

examine whether points (3,3),(-4-1)&(3-5)are the vertices of an isosceles triangle

Answer 1

let A = (3,3), B= (-4,-1), C= (3,-5) are vertices of the triangle

distance between two points (x1,y1) and (x2,y2) = √(x2-x1)²+(y2-y1)²

i) AB = √[-4-3]²+[-1-3]² = √(-7)²+(-4)²= √49+16 = √65---(1)
ii)BC =√[3-(-4)]²+[-5-(-1)]²= √(3+4)²+(-5+1)²=√49+16=√65---(2)
iii) CA =√[3-3]²+[3-(-5)]²=√64 ---(3)

therefore
AB=BC
two sides are equal in length in the triangle
ΔABC is an isosceles triangle

Answer 2

Answer:

here's the answer

Step-by-step explanation:

hope this helps u