Question

Check whether points(3,3) (-4,1) and (3, - 5) are the vertices of an isosceles triangle ​

Answer 1

Answer:

Yes. ΔABC is an isosceles triangle

Step-by-step explanation:

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

The 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

AB = √65⇒(1)

ii)BC =√[3-(-4)]²+[-5-(-1)]²

= √(3+4)²+(-5+1)²

=√49+16

BC = √65⇒(2)

iii) CA =√[3-3]²+[3-(-5)]²

CA = √64 ⇒(3)

∴AB=BC

two sides are equal in length in the triangle

ΔABC is an isosceles triangle

Answer 2

Answer:

THANK you so much

Step-by-step explanation:

THANK you so much