Question

Find the ratio of the area of triangle XBY to the area of triangle ABC for the given measurements, if LINE XY is PARALLEL TO LINE AC

Answer 1

BY = 3, YC = 2

Answer 2

@tcarroll010 Some help please?

Answer 3

thats a ratio of 3:5?

Answer 4

Lol, is it?

Answer 5

Isn't that 5:2?

Answer 6

then the area of the top one is 9 and the bigger triangle is 25

Answer 7

\[\frac{ 3^{2} }{ 5^{2}}\]

Answer 8

9/25

Answer 9

I'm sorry i don't understand how you are getting this

Mind running me through the first steps?

Answer 10

then the pictures above show them on top of each other

Answer 11

How did you get 10?

Answer 12

The ratio of the sides is equal if there are parallel lines

Answer 13

because they are similar

Answer 14

because you are just extending the sides of the smaller one yes?

Answer 15

Oh yes

Answer 16

So the scale used to increase the smaller one is 3:5

Answer 17

so i made one of the sides = 6 and that is an easy ratio to do

Answer 18

i just multipled the ratio by 2

Answer 19

so 6:10

Answer 20

Ohhhh. Okay

Answer 21

and since area is basically multiplying the ratio of the sides

Answer 22

3/5 * 3/5

Answer 23

\[\frac{ 3^2 }{ 5^2 }\]

Answer 24

9/25 is the answer

Answer 25

9/25?
not 9:25?

Answer 26

same thing

Answer 27

Ok cool

Answer 28

What if BY = 2, BC = 4?