how do I figure a diagonal distance from a square 15'x15'?

Answer 1

Pythagorean therom

a^2 + b^2 = c^2

15^2 + 15^2 = c^2

225 + 225 = sqrt 450 or about 21.2

Answer 2

Diagonal Distance Of A Square

Answer 3

Since a diagonal would divide the square into right triangles, you can use the Pythagorean Theorem to find the length of the diagonal:
a^2+b^2=c^2
In other words, if you add the squares of the two right sides (15 squared plus 15 squared), you'll get the square of c, which is the diagonal. Then get the square root for the final answer

Answer 4

Use the Pythagorean Theorem:

a² + b² = c²

(15)² + (15)² = c²

c = √[2(15)²]

c=15√2

Therefore, the diagonal of the square measures 15√2 square feet.

Answer 5

Designate one side "a" the other side "b" and the diagonal "c". The Pythagorean theorem states the square of the diagonal is equal to the sum of the squares of the other two sides. Or to put it another way "c" equals the square root of the sum of the squares of "a" and "b". Therefore the diagonal of a square of 15' on each side is the square root of 15 squared + 15 squared. This is the square root of 225 + 225 or Sq. Rt. of 450 which is approximately 21.2 feet.

Answer 6

I like the 'measure it' answer. If you can measure the sides, you can certainly measure the diagonal.

In practice, you would use the Pythagorean theorem in order to make sure your walls (or whatever you're building) are at a right angle to each other. You'd probably pick easier numbers to work with.

When I worked with a masonry crew buidling basements, we always measured 9 feet along one line, 12 feet along another line, put one end of a tape measure at the 9 foot mark and move the 12 foot line until the the 12 foot mark met the 15 foot mark on the tape measure. (That's a right triangle that's 3 yards x 4 yards with a 5 yard diagonal).

Answer 7

To find the diagonal distance of any rectangle all you have to do is find the square (the number times itself) of the length and the square of the width, add them together, then find the square root of your result.

In your case since the length = 15' and the width = 15'

You find the square of the length 15 which is 225

The square of the width 15 which is also 225

Add them together: 225 + 225 = 450

Then find the square root of your result: the square root of 450 is approximately 21.2132

Answer 8

Pythagoream theorem

a^2+b^2=c^2

Answer 9

square root of 15times 15 + 15 times 15

Answer 10

Diagnol= (square root of 2) times (the side of the square)
Diagnol= (square root of 2) times (15) feet