Type the correct answer in each box. If necessary, use / for the fraction bar(s). Given: A B || CD

If the coordinates of point A are (8. 0) and the coordinates of point Bare (3. 7), the yintercept of AB is. If the coordinates of point Dare (5, 5), the equation of line CD is y= __ x+ __?

the answer is c. ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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