Question

Triangle ABC was dilated and rotated to form triangle DEC.

What is the length of side AC? (Figures not drawn to scale.)

Answer 1

@jhonyy9

help ?? :')

Answer 2

I'm going to draw ABC and DEC side by side so it's easier to see how the sides are proportional

Answer 3

so, looking at it this way, EC and BC are proportional; CD and CA are also proportional

so CE/CB = CD/CA ----> 5/8 = 6/x, solve for x

Answer 4

Im slow on this subject, How can I solve for x may I ask ?.

Answer 5

cross-multiply

Answer 6

x = 9 3/5 ?-

Answer 7

ok one sec, brb- ldkjfkl

Answer 8

Let me clarify, we are saying 5/8 because side CE is similar to CB does this make sense?

Answer 9

Yes but no but I'll figure it out to understand

Answer 10

What are you confused on?

Answer 11

Basically everything but like this cross division multiply thingy has me confused-

Answer 12

When we are setting up a cross multiplication problem our goal is to solve for x

Answer 13

So 5×X=5x
8×6=48
Because we are cross multiplying

Answer 14

Alright.

Answer 15

Do you understand or would you like more clarification?

Answer 16

Yes I understand it slightly more sorta-

Answer 17

How would you solve for x now?
5x=48
What can we do to get x alone?

Answer 18

Divide-?? not sure

Answer 19

Yes we will divide
5/5=1x so just x= 48/5

Answer 20

What is 48/5

Answer 21

9.6 ?

Answer 22

Yes

Answer 23

So x=9.6

Answer 24

i- this is easy but im not able to learn this quick.- Tysm one sec.

Answer 25

You're welcome let me know if you need more help:)