The sum of 3 consecutive add intergers is 45

14, 15,16

Step-by-step explanation:

lets take "x" as the first integer

so since all the numbers are consecutive we can take integer number one as:

x

integer #2: x+1

integer#3:x+2

so

x+x+1+x+2=45

3x+3=45

3x=42

x=14

Hope this helps!

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