i have a square?

Question

i have a square 5cm by 5cm and there is a diagonal line going through a corner.The length of the diagonal is ycm.Show that the value of y is the square root of 50.

Answer 1

the formula for finding the length of diagonal line is
A^2+B^2=C^2 where C is the diagonal line
5*5+5*5=B^2
you can do the rest

Answer 2

use pythagoras theorem
(hypotenuse)^2 = a+2 +b^2
where a and b r the other sides of a right triangle.

hypotenuse here is the diagonal of the square
so(diagonal)^2 =5^2 +5^2
(diagonal)^=50
so diagonal = square root of 50

Answer 3

Use the pythagorean theorem

leg^2 + leg^2= hypotenuse^2

5^2 + 5^2 = hypotenuse^2

25+25= hypotenuse^2

50= hypotenuse^2
hypotenuse= square root of 50

Answer 4

A************** B
*...*................ *
*.......*............ *
*............*....... *
*.................*...*
C**************D
AD is the diagonal.. Given AB = BD = AC = CD = 5 cm
triangle ACD will form a right triangle.. because Angle C is 90 as it is given as square.
We need to use the pythagorean theorem which states hypotenuse square is sum of squares of the legs
if you consider the right triangle ACD, AD is the hypotenuse and Legs are AC and CD.. so we have
AD^2 = 5^2 + 5^2
AD^2 = 25 + 25 = 50
Taking square root on both sides we get
AD = square root (50) ...
Here we take AD = y..
so y = square root (50)
hope this helps.

Answer 5

A square what?
Pythagoras: diagnal equals 25 + 25
therefore equals square root of 50 = "work the rest out for yourself?"

Answer 6

The diagonal d of a square with side s is d=s*sqrt(2). You should remember this to save time.
So inyour case d = 5sqrt(2)
= sqrt(25)*sqrt(2) = sqrt(50)

Answer 7

by pythagorean theorem

c^2=a^2+b^2
since a=b because it is a square

c^2=2(5)^2=50
c=square root of (50)

Answer 8

Wow, you've had these people doing your maths homework (for SATs by the sound of it) for two days now - for God's sake give them a break! Go back to reading your harry potter as you couldn't be bothered to study in the first place......

Answer 9

That is a question so simple I will not attempt to answer it, everybody knows that roots are round.

Answer 10

so many correct answers....elemantary Pythagoras's theorem....good question tho...well done.....sq rt (5 squared + 5 squared) = the answer = sq rt 50....= 7.0710678......