Question

Fan for best answer!
What is the value of x?

A. 5
B. 5/2
C. 10
D. 2/5

Answer 1

I need more context to answer that

Answer 2

http://static.k12.com/calms_media/media/1299500_1300000/1299574/1/b5bfb6603c613db677cfc071f4fb208e7074c529/143794.jpg

Answer 3

It is an isosceles triangle which means that there is one right angle and two other angles that equal to 45 degrees with two equal sides

Answer 4

so how do I figure it out?

Answer 5

Do you know Pythagorean's theorem?

Answer 6

not that well

Answer 7

ok. It only works for right triangles but it's really important. it's a^2 + b^2 = c^2

Answer 8

where c is your hypotenuse or for your problem it's x

Answer 9

so if you have a = 5 and b = 5 then its like saying 5^2 + 5^2 = x^2

Answer 10

so 25 + 25 = 50 = x^2

Answer 11

find the value of the square root of 50 and that will be your answer

Answer 12

still a little lost, but I got the 50

Answer 13

look at the picture that @idku posted. On it you see a, and a as your legs of the triangle right?

Answer 14

and where x on your picture is, you see a sqrt 2 right?

Answer 15

thats the same thing as what you should get by the square root of 50. your a value (or 5 for you) multiplied by the square root of 2

Answer 16

\[\sqrt{50}=\sqrt{25*2}\] do you see how that works?

Answer 17

so 10

Answer 18

so then you can take out the 25 because the \[\sqrt{25}=5\] and then you still have the 2 left in the square root so it's \[5\sqrt{2}\]

Answer 19

i take it that would make your answer B

Answer 20

yup, thanks

Answer 21

easier to understand? haha the way i worded it was probably confusing, sorry.