Question

A right angle triangle has a side x,y,z .The length of the two perpendicular sides satisfy the inequality [sqrt(x^2 - 2sqrt(2) + 9) ] + [sqrt(y^2 - 4sqrt(2) +15] <= 2sqrt(7).What is the length of hypotenuse of the triangle?
A. sqrt(15)
B. sqrt(10)
C sqrt(7)
D. sqrt(12)

Answer 1

Is this the inequality
\[
\sqrt{x^2 - 2\sqrt2 + 9} + \sqrt{y^2 - 4\sqrt2 +15}\leq 2\sqrt7)\ ?
\]

Answer 2

yes

Answer 3

sqrt(10) i think

Answer 4

can you please explain your approach

Answer 5

\( 2\sqrt{7} \le \sqrt{(x-\sqrt{2})^2+7}+\sqrt{(y-2\sqrt{2})^2+7} \le2\sqrt{7} \) since

\( (x-\sqrt{2})^2 \ge0 \) and \( (y-2\sqrt{2})^2 \ge0 \) so we have

\( \sqrt{(x-\sqrt{2})^2+7}+\sqrt{(y-2\sqrt{2})^2+7} =2\sqrt{7} \) and equality occurs when

\( x=\sqrt{2} \) and \( y=2\sqrt{2} \)

Answer 6

how is it possible that \[\sqrt{(x-\sqrt{2})^{2}+7} = \sqrt{x ^{2}-2\sqrt{2}+9}\]

Answer 7

instead -2sqrt(2) it wil give -2sqrt(2) x

Answer 8

yes... i made a big mistake....

Answer 9

let's think again

Answer 10

ya sure

Answer 11

could u plz double check the question?

Answer 12

Ya its same...i checked once again

Answer 13

Can you lease help me with
X school purchased 357 pen and 323 rubber and 289 pencils.The total bill amounts to 4054.5.On the other day school Y purchased 221 pens,247 rubbers and 273 pencils which amounts to 3074.5.Find the price of 100 pens ,100 rubbers and 100 pencils

Answer 14

Leave that thanks for the effort...try latest one

Answer 15

Nope i cant solve it o.O

Answer 16

There must be something wrong with the question.