Question

MEDAL to the first correct answer ;) step by step explanation... (Using the quadratic formula)

In a right angled triangle, the second to longest side is 5 cm longer than the shortest side, and the hypotenuse is three times longer than the shortest side. Find the exact length of the hypotenuse.

Answer 1

Shortest side = x
other side = x+5
hypotenuse = 3x

we know, in a right angled triangle , (short side)^2 + (long side)^2 = (hypotenuse)^2

(x)^2 + (x+5)^2 = (3x)^2

Answer 2

Yeah I know that :)

Answer 3

But can you solve for x, please?

Answer 4

Haha, So all you need is a confirmation, no ? :P

Answer 5

I tried solving it but I got a wrong answer so I wanna know what I did wrong :p

Answer 6

What answer di you get , anyways?

Answer 7

answer*

Answer 8

Oh!

Answer 9

\[x=\frac{ -b \pm \sqrt{(-b)^2 -4ac} }{ 2a }\] the lenghth is always positif so u'll leave out any negative answer

Answer 10

it's not (-b) squared it's b squared

Answer 11

check again ur simplification u had \[\frac{ 10 + 20\sqrt{2} }{ 14 }\]

Answer 12

(-b)^2=(b)^2 isn't it?

Answer 13

yeah but the formula is b squared and not -b squared even if it's the same answer...

Answer 14

Look, I get \[\frac{5 \pm 10\sqrt2}{7}\]

Answer 15

The thing that you have to see is that , the value that you get, i.e (5 + 10√2)/7 , is the value of x ..

But as you can see, we assumes hypotenuse to be 3x ,

thus, you have to multiply 3 with this value of x .. such that you get :

3( (5 + 10√2)/7 ) = 15 + 30√2 / 7 ..

Understood ? @IBstudent

Answer 16

Oh OMG Thank you!!! now I got it!!

Answer 17

You're welcome :D