Question

given that wa = 5x - 8 and wc = 3x +2, find wb.
a. wb = 5
b. wb = 8
c. wb = 10
d. wb = 17

Answer 1

@ThatGingerOnFire

Answer 2

help!!! anyone

Answer 3

well that looks ugly.. lemme see

Answer 4

that's a pain drawing it =|

Answer 5

ok, first, more rules of isosceles triangles.

Answer 6

k

Answer 7

Let me find a nice picture of it hehe

Answer 8

http://www.emathematics.net/imagenes/isosceles6.gif

Answer 9

in isosceles triangles the height to the base is also the median (cuts it in the middle) and also the divides the angle into two halves. I should recall the terminology in english heh

Answer 10

that's important here because it also works backwards. if we know that the height is also the median for example then it means that the triangle is a isosceles triangle and both its sides are equal.

Answer 11

And ofc, that the base angles are equal too

Answer 12

Ok?

Answer 13

yep

Answer 14

look at the picture, I can't draw this i'm sorry..
You can see that XW cuts BC in the middle, but it is also perpendicular to it. So it is both a height and a median. So WCB is an isosceles triangle and WB = WC ok?

Answer 15

ok

Answer 16

now, same way, what can you say about triangle AWC?

Answer 17

it intersects with some of the angles we mentioned

Answer 18

we didn't talk about angles hehehe
look at the triangle(!) AWC, look at what I said about the triangle WCB. What can you say about about the triangle AWC now?

Answer 19

very similar statement to what we just said about WCB

Answer 20

there both isosceles triangles

Answer 21

right, but I need you to tell me why can you say that AWC is isosceles. what tells you so?

Answer 22

becuase its perpendicular to wx and others

Answer 23

what is perpendicular? a triangle cannot be perpendicular to something, only a line can be.
Look only at AWC. do not look at anything else

Answer 24

why can you tell that it is an isosceles triangle?

Answer 25

look at the new rule I introduced you above and remember it works backwards

Answer 26

both sides are equal and that they can be a median

Answer 27

you can tell that the sides are equal only after you show it is an isosceles triangle. I didn't mark them as equal for a reason, we are not told that, we have to show it.
What we do know is that WZ is perpendicular to AC, and that AZ = ZC. that's all

Answer 28

what is the rule I introduced you above?

Answer 29

all sides are equal after showing the figure is an isosceles triangle

Answer 30

hold on hold on. in isosceles triangle not necessarily all the sides are equal, just two.
Let's see. again, the rule, a little more concise:
"In an isosceles triangle the height to the base is also the median and also the angle bisector"

Answer 31

can we just do the problem??

Answer 32

its really late and wanna finish this fast im tired

Answer 33

so you want answer?

Answer 34

sure

Answer 35

17

Answer 36

ty. now can u do me a huge favor????

Answer 37

I am not supposed to solve your HW for you

Answer 38

ik ik but for the last 6 questions, can u set up the equuations for me clearly so i can find out the answers or even better giving me the answers so wen i wake up i see them or solve them??? cuz its real late abd wanna sleep

Answer 39

it's not always possible to form an equation. in many places you just solve it, like we had with angles..

Answer 40

soo?? maybe like a clear explanation for how to get them so i wont seem bad instead of just giving me answers if u want

Answer 41

Look, if you're tired and all, then fine I'll do this exception. but I'll tell you what I tell all the people asking me such things: Next time study better and you won't be in this condition
So I'll give you answers this one time so you can sleep, but make sure you cover it for the future

Answer 42

ok thanks so much i wont do this to u again