Question

@hartnn

Answer 1

so she cut AB in to 2 pieces,
AC= 2,
CB = 8
right ?

Answer 2

now lets find the ratio of sides of smaller triangle and larger triangle.

side of smaller triangle = AC = 2
side of larger triangle = AB= ....? can you find ?

Answer 3

?... confused

Answer 4

AB is the side of larger triangle, you're clear with that , right ?

AB = AC+CB = ...?

Answer 5

10

Answer 6

yes, thats correct,
so the ratio of sides to smaller triangle to larger triangle is
AC : AB = 2: 10 = 1:5
got this ??

and this ratio will be maintained for other sides too

Answer 7

so it's either 10 or 5?

Answer 8

so if the larger triangle had side 20 , and smaller one had side 'x'
we will have
x:20 = 1:5
can you find x from here ??

Answer 9

x/20 = 1/5

x= 20/5 = ...

Answer 10

20/5 = 4

Answer 11

yes, thats right, ask if you have any doubts ?

Answer 12

my final answer is 4?

Answer 13

fill in the blank

8 * _____ = 2

Answer 14

yes, its 4.

Answer 15

8/ 4=2 you mean, haha..

Answer 16

or 8 * (1/4) = 2

Answer 17

so the scale factor is 1/4

the smaller triangle has dimensions that are 1/4th of the bigger triangle

Answer 18

the larger triangle has a horizontal side of 20

apply the scale factor

20*(1/4) = 20/4 = 5

Answer 19

jim, is it ?
because i think that 8 in is not the side of larger triangle, the side is 8+2

Answer 20

oh hmm

Answer 21

yeah the bigger triangle could have a vertical length of 8+2 = 10

Answer 22

its not clear whether that 8 in is CB or AB (from my diagram), i assume its CB

Answer 23

so the scale factor would be 2/10 = 1/5

Answer 24

yes, thats what i thought

Answer 25

wait @jim_thompson5910 did you get something other than 4 as your final answer?

Answer 26

no I'm getting 4 as well