Question

i need some help checking my answers

Answer 1

@YoursTruly

Answer 2

so this triangle BAD is a right triangle ?

Answer 3

yes the right angle is angle A

Answer 4

@Vocaloid welcome back

Answer 5

Uh

My instinct is no since there's nothing about the length of GH

Answer 6

* actually in the context of the problem that's yes

Answer 7

Let me check w/ someone on discord

Answer 8

@jhonyy9 sorry to bother but do you have any input on this problem?

Answer 9

oh. np. so my first idea was using the proportionality of corresponding sides - but i think dont work

@Vocaloid

Answer 10

@Vocaloid i haw a new idea

than we write the altitude theorem FH^2 = FE*FFG

so this help without calcule the FH - yes ?

Answer 11

sorry FE*FG = FH^2

Answer 12

i already got past this problem, but you two can help me with the others i need checked

Answer 13

sure

I found a similar solution to jhonny's

Answer 14

us the altitude theorem for QS

Answer 15

do you know it ?

Answer 16

QS^2 = RS*ST

from this calcule ST

Answer 17

and after this you need assum ST with RS and will get the right answer

Answer 18

i did that, and i got C

Answer 19

check it please i got other answer right

Answer 20

ST=?

Answer 21

"QS^2 = RS*ST"

can you try plugging in the values of QS and RS into this equation? then solve for ST

Answer 22

looking at the diagram QS = 18 and RS = 16, right? can you try plugging these in and solving for ST?

Answer 23

16 + 18 = 34,

Answer 24

hm? the equation does not tell you to add QS and RS

Answer 25

QS is squared

Answer 26

QS^2 = RS*ST

Answer 27

if QS = 18 and RS = 16 we just plug them in to get

18^2 = 16 * ST

can you try solving for ST now?

Answer 28

23?

Answer 29

what is 18^2 divided by 16? ^ means an exponent

Answer 30

20.25

Answer 31

good

now that's the length of ST

but they want the length of RT

so RT = ST + RS = ?

Answer 32

36.25

Answer 33

good so 36.25 = your sol'n

Answer 34

@Vocaloid

Answer 35

hm, not quite.

all of the choices except one has a proportion where

short leg/hypotenuse = short leg/hypotenuse

or

long leg/hypotenuse = long leg/hypotenuse

except one

Answer 36

oh there's actually one where

long leg/short leg = long leg/short leg

Answer 37

so D?

Answer 38

hm, not quite

forgot to mention you can flip the denominator and numerator of both sides of a proportion and the proportion will still hold

so hypotenuse/long leg = hypotenuse/long leg which is the situation for D

Answer 39

c/b is the (hypotenuse of the big triangle/long leg of the big triangle)

b/y is the (hypotenuse of the right triangle)/(long leg of the big triangle)

Answer 40

so D is a valid proportion and thus is not the solution

Answer 41

have you tried A yet? are both sides of the proportion comparing corresponding parts of the triangles?

Answer 42

notice how y is smaller than c right? we would expect y/c to be less than 1

notice how c is larger than x, right? we would expect c/x to be greater than 1, then.

so y/c and c/x cannot be equal, thus making A the better sol'n

Answer 43

all of the other sol'ns are valid proportions comparing corresponding parts of the triangles

Answer 44

good

Answer 45

hm, not quite

this is kind of similar to the other one with a bit of a twist

if you look at the XW, XY, and the altitude WY, they make a right triangle where

WY^2 + XY^2 = XW^2

can you try solving for WY?

Answer 46

about like, 22?

Answer 47

hm not quite

24^2 = 16^2 + WY^2

WY = ?

Answer 48

320?

Answer 49

almost

since WY^2 = 320 then WY = sqrt(320)

now using the rule from before, altitude^2 = the product of the two segments on the hypotenuse

so WY^2 = YZ * XY

solve for YZ

then after that you will add it back to XY to get your sol'n

Answer 50

uh....

Answer 51

WY^2 = YZ * XY

you have the values of WY and XY. solve for YZ.

Answer 52

C?

Answer 53

good

gtg, idk if @jhonyy9 is still there but I hope they can help you w/ the rest

Answer 54

@princeevee you know that WY^2 = 320
yes ?

Answer 55

and the theorem of altitude say

wy^2 = xy*yz

where xy = 16 so subtituting what you know you can writing

320=16*yz from this yz = ?

Answer 56

divide both sides by 16 and will get

320/16 = yz

Answer 57

ok. ?

Answer 58

the right answer you get assuming yz and xy

right ?