PLEASE HELP!! triangle ABC is dilated by a scale factor of 0.5 with the origin as the center of dilation, resulting in the image triangle A’B’C’. if A = (2, 2), B=(4, 3), and C=(6, 3), what is the length of B’C’?

answer: the answer is   graph (a)

isocolese triangle

we know that the line connect a and b is the hyptonuse

so first find the hypotonuse length using the distance formula, call the length c

since it is an isocolese triangle, the lengths of the legs are the same

using pythagorean theorem,

in this case, a=b since isocolese triangle so we get

or

we can find c so we can find the distances

we know that if we draw 2 circles, each has center at a and b, and find where they intersect, we can the 2 possible locations for c

if a has center at (xa,ya) and b has center at (xb,yb), then we can solve where

and

intersect to find where they intersect

i'm not going to put an example because i have to go to class. i hope this explanation is enough

did you get the answer?