Question

FAN N MEDAL

Answer 1

ABCD is a rectangle. What is the value of x?

rectangle with length 63 m, width x m, and diagonal 65 m

2 meters
16 meters
63 meters
65 meters

Answer 2

Do you know Pythagorean Theorem? :)

Answer 3

i think so

Answer 4

i think the answer is 16 meters

Answer 5

The Pythagorean Theorem is: \(\sf\Large a^2 + b^2 = c^2\)

where a and b are the legs of a right triangle

and c is the hypotenuse

Answer 6

okay yes then i know what the Pythagorean theorem is

Answer 7

So what is the hypotenuse in this question?

Answer 8

i don't know

Answer 9

They are looking for the value of x! You would use the Pythagorean theorem still.
\[63+?=65\]
Do you know how to find the answer?

Answer 10

2

Answer 11

Wait! That is not the answer yet!

Answer 12

oh okay

Answer 13

@pyxieyt you're not doing it correct :/

Answer 14

We would have to make it look like this
\[A+63^2=65^2\]

Answer 15

Yeah I realised that :P

Answer 16

now that's kinda correct

it has to be in the form

\(\sf\Large a^2 + b^2 = c^2\)
And after plugging in the numbers:
\(\sf \Large a^2 + 63^2 = 65^2\)

Answer 17

Now, what would be 63x63?

Answer 18

What would be 65x65?

Answer 19

it would be 4225 i think

Answer 20

wha twould be 4225? :)

Answer 21

65x65

Answer 22

Okay so what is 63x63?

Answer 23

it is 3969

Answer 24

Okay so what is 4225-3969

Answer 25

256

Answer 26

and take the squareroot of that

Answer 27

\(\sf\sqrt{256} = ?\)

Answer 28

uhm.. 16?

Answer 29

and that's your answer :)

Answer 30

Yep! You got it correct!

Answer 31

thank you so much both of you

Answer 32

Good job!

Answer 33

Anytime! :D