Question

find the scale factor of the figure below

Answer 1

is the distance from D to E 6? and B to C 8? or D to A 6? and C to A 8? either way i can do just need to clarify

Answer 2

d to e 6 and b to c 8. and can you help me wok it out because i need to no how to do this for my final

Answer 3

ok so you have a big triangle and a small triangle with the same ratio, meaning one is just a smaller version of the other. so we start by

6+y is the side of the big triangle, and y is the side of the smaller triangle on the same side, similarly for the other side

8 + y+2 is the side for the big triangle and y+2 is the side for the small triangle on the same side


now you take the sides of the big triangle and but them in a ratio

\[\frac{ 6+y }{ 8+y+2 }\]

now you put this equal to the ratio of the small triangle since we put the left side on top of the ratio for the big triangle you do the same with the small triangles ratio

\[\frac{ y }{ y+2 }\]

then you put them equal to each other and solve for y

\[\frac{ 6+y }{ 8+y+2 }=\frac{ y }{ y+2 }\]

Answer 4

y=6

Answer 5

how do i solve them equal

Answer 6

to do these type of problems you should already know how to do that..

Answer 7

first you cross multiply then you will get a quadratic function

Answer 8

i got 12/20

Answer 9

(6+y)(2+y)=y(10+y)

y^2+8y+12=y^2+10y

y^2 cancels out

8y+12=10y

12=2y

y=6

Answer 10

i thought it was plus ?

Answer 11

what?

Answer 12

what did you think was plus?

Answer 13

oh nevermind

Answer 14

are you going to give me a medal? @herobeautiful

Answer 15

sure thanks.