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# simple geometry problem

Sun 5 Jan, 2003 04:46 pm
If two lines in a triangle are each 16 feet and form a right angle, how long will the third line be?

I'm squaring up a 16-foot raised garden and want to make sure the darn thing is actually square before I stake the sides in place.

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Type: Discussion • Score: 2 • Views: 4,661 • Replies: 6

roger

1
Sun 5 Jan, 2003 04:54 pm
Won't answer because I've not completely sure I recall the formula.

Do it this way instead. Measure the diagonal distances between the two parallel sides of the square or rectangle. If the opposite sides are really parallel, the diagonals will be of the same length.
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dupre

1
Sun 5 Jan, 2003 05:26 pm
Thanks, roger. Will do!
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dupre

1
Sun 5 Jan, 2003 06:52 pm
Once again, my mother's husband provided the answer. He promptly quoted the pythagor-whatever and said the answer is the square root of 512.

On my calculator: 22.64

Amazing.
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midwood-trail

3
Thu 13 Nov, 2008 04:08 pm
@dupre,
If two lines in a triangle are each 16 feet and form a right angle, how long will the third line be?

I guess you mean each leg is 16 ft. Then we are searching for the hypotenuse.

We can use this formula:

a^2 + b^2 = c^2

Let a = 16 ft and let b = 16 ft

We are searching for c.

(16)^2 + (16)^2 = c^2

256 + 256 = c^2

512 = c^2

We now take the square root of both sides of the equation.

c is approximately 22.63 ft.

I rounded to two decimal places.

I hope this helps.

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ossobuco

2
Thu 13 Nov, 2008 04:36 pm
@dupre,
The square root of [a squared + b squared] = c squared

or add 16 x 16 to 16 x 16, then take that number
and find the square root of it
- either by calculator, by an online calculator, or memory from fourth grade on how to square root manually.

ossobuco

2
Thu 13 Nov, 2008 04:41 pm
@ossobuco,
I get 22.627416997969522 via an online square root calculator. And, to the right of the decimal x 12 = just about 7.5 inches.
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