Question

What is the slope of the hypotenuses of the triangles in simplest form? @ganeshie8 @dan815 @waterineyes

Answer 1

http://static.k12.com/calms_media/media/1503500_1504000/1503534/1/41a3d0d45821a1d5a935cf8434ac536e79e72cc1/MS_IMC-140523-130903.jpg

Answer 2

@waterineyes can you help me

Answer 3

slope is defined by the formula:
\[m = \frac{ y_2 - y_1 }{ x_2 - X_1 }\]
where (x1,y1) , (x2,y2) are the points of the line.
now try substitute the formula given the points =)

Answer 4

note that the two triangles are just having the same slope as it lies on the same line

Answer 5

i still don't get it

Answer 6

let's take the smaller triangle's slope.
isn't it that the hypotenuse's endpoints are (3,1) and (6,2) ?
take it then as the points (x1,y1) and (x2,y2)

Answer 7

ok

Answer 8

so wats the anwer

Answer 9

have you tried substituting the values?

Answer 10

is the anwer 1/3

Answer 11

\[m = \frac{ y_2-y_1 }{ x_2-x_1 }\]
\[m = \frac{ 2-1 }{ 6-3 }\]

Answer 12

yep.. that's the slope..

Answer 13

so that's the anwer

Answer 14

now try to get the slope of the bigger triangle with the same idea that you have about slope. this time you'll have the points as (6,2) and (18,6)

Answer 15

though we know that you'll get the same answer since it lies on the same line, we just have to prove that our idea that they are the same is correct

Answer 16

4/12
???

Answer 17

@shinalcantara

Answer 18

reduce it to lowest term 4/12 is also 1/3 xD

Answer 19

so 1/3 is the anwer?

Answer 20

yep.

Answer 21

just remember the formula for slope:
\[m = \frac{ y_2-y_1 }{ x_2-x_1 }\]
where m is the slope and (x1,y1) and (x2,y2) are the two points of the line