Question

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Answer 1

Find x when y =10

Answer 2

@ParthKohli

Answer 3

Hi, are you aware of the Pythagoras Theorem?

Answer 4

yes very much

Answer 5

i did the problem half way through

Answer 6

and i am stuck on a equation

Answer 7

OK, let's see how we can work with it here.

Answer 8

What equations did you get?

Answer 9

give me a minute i will tell u what i did

Answer 10

@ParthKohli @ParthKohli2

Answer 11

\[10^2 = (x-3)^2 + CD^2 \Rightarrow 100 = x^2 - 6x + 9 + CD^2\]\[\Rightarrow CD = \sqrt{100 - x^2 + 6x - 9}\]So\[AC = x + \sqrt{100 - x^2 + 6x - 9}\]\[(x + \sqrt{100 - x^2 + 6x - 9})^2 = (x+4)^2 + (x - 3)^2\]

Answer 12

Oh wait... you've already replied. Didn't see that, sorry.

Answer 13

you can try solving that on WolframAlpha.

Answer 14

we're not given ABC is a right triangle ?

Answer 15

it is actually

Answer 16

who said ?
and where is the complete question lol ?

Answer 17

^

Answer 18

oh, we should take the other right triangle.

Answer 19

Find x when y =10

Answer 20

where it was mentioned that ABC is a right triangle ?

Answer 21

if it is about diagram :- There was no square box at angle B. So we cannot assume it as right triangle.

Answer 22

Now it is

Answer 23

lol, but not according to the question.

Answer 24

It is misprinted it is lighter in the picture so it is not visible

Answer 25

ohk, then its easy
just plugin each value and see which one works

Answer 26

The answer is 11 but i don't know how so should plug in the options and see which one works

Answer 27

got it @mathbrz

Answer 28

lol

Answer 29

the x value must satisfy both right triangles :
1) ABC
2) the right triangle wid one side as "y"

Answer 30

The answer is 11 but i don't know how so should plug in the options and see which one works

Answer 31

ok

Answer 32

b

Answer 33

\[(x + \sqrt{100-(x-3)^2})^2 = (x-3)^2 + (x+4)^2\]

Answer 34

solve for x

Answer 35

http://www.wolframalpha.com/input/?i=%28x%2Bsqrt%28100%E2%88%92x%5E2%2B6x%E2%88%929%29%29%5E2%3D%28x%2B4%29%5E2%2B%28x%E2%88%923%29%5E2

Answer 36

plugin x = 11,
and see if it satisfies both right triangles,

it does satisfy, so 11 is the answer.

^^thats how u check options :)

Answer 37

that's the smarter way lol @ganeshie8