Question

WILL MeDAL AND FAN

[4.01] Find the value of x.
A triangle drawn with a midsegment labeled x. The side parallel to the midsegment is labeled 60. (3 points)

40

30

10

20

Answer 1

hi jhanny!

Answer 2

oops srry

Answer 3

Well, you'd want to make a ratio between the two similar triangles

Answer 4

how, pray explain, do i do that?

Answer 5

/O?r rather, if it's the midsegment of the triangle, wouldnt that mean that it's splitting the bigger triangle in half?

Answer 6

So length x is \(\frac{1}{2}\) the length of the base of the big triangle 60?

Answer 7

yes that is true, but the lines on either side are not congruent. therefore, the lenths must be different, am i correct?

Answer 8

They are congruent...

Answer 9

Think of each side as a component. If you're matching up components, then you're matching up side to side.

Answer 10

Therefore, since x is a midsegment of the bigger triangle with base 60, we can use similar triangles to match up the base of the smaller triangle to the base of the larger triangle because they are congruent.

Answer 11

Therefore \(x=\frac{1}{2}(60)\)

Answer 12

srry was at the bthroom

Answer 13

cool thx! but please tell me how to find the ratio of an object

Answer 14

@Jhannybean I think you mean 'they're similar**'

Congruent means they're exactly the same..

Answer 15

exactly :3

Answer 16

Sorry, yes you are correct. similar rather than conguent.

Answer 17

Lol

Answer 18

It's 4:30 AM..... :(

Answer 19

Oh, it's almost 7:30AM here

Answer 20

6:24am :(

Answer 21

i should be asleep!

Answer 22

xD

Answer 23

Same.

Answer 24

Not me :P

Answer 25

my mom is making me do 9 geometry assignments today DX

Answer 26

Yuck.

Answer 27

anyway thx fr ur help

Answer 28

No problem :)

Answer 29

Aww, good luck :(