Will give 50 points + !
if δabc is dilated from point a by a scale factor of one half which of the following equations is true about segment d prime e prime?

triangle abc is shown with point d lying on side bc and point e lying on side ac. line de is perpendicular to side ac.

segment d prime e prime = one half segment de
segment d prime e prime = two segment de
segment d prime e prime = segment de
segment d prime e prime = three segment de

in the given figure the sides of triangle measures as follows:

ab= 4 units,

bc= 6 units,

since triangle abc is right angled triangle, to find ac we will have to use pythagorean theorem,

ab² + bc² = ac²

plugging the values of ab and bc to find ac,

4² + 6² = ac²

16+36=ac²

ac = 7.48

now if the triangle is dilated by a scale factor of 2, each side will be multiplied by 2 to get the new triangle a'b'c'

side a'b' = 2* ab = 2*4= 8 units

side b'c' = 2* bc = 2*6 =12 units

side a'c' = 2*ac = 2*7.48 = 14.96 units

perimeter of triangle = sum of three sides

perimeter of triangle a'b'c' = a'b' + b'c' + a'c'= 8+12 + 14.96 = 34.96 units.

perimeter of triangle abc = ab+bc + ac = 4+6+7.48 = 17.48 units.

perimeter of triangle a'b'c' = 2* perimeter of triangle abc

the perimeter of new triangle a'b'c' is 34.96 units which is twice that of triangle abc.

25.2

step-by-step explanation:

2+4x6-8/10= 25.2

hey seth! : )

i’m not 100% sure, but i think it’s b

hope this ya : p

miss u!

- nicole