How does one find the unknown side of a right triangle?
Thanks
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How does one find the unknown side of a right triangle?
Thanks
Square the hypotenuse, square the known side. Subtract the difference. Take square root of the difference
I cheat and use a tape measure or ruler.
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I have regularly employed "c-squared" = "a-squared" plus "b-squared". The ubiquitous classic right triangle is the "3-4-5", where one side's length is 3, the next is 4, and the long (aka hypotenuse) is 5. Assume you know the long side, which is "c", then c-squared is 5 times 5 = 25. One side we know to be 3, and 3-quared = 3 times 3 = 9. Simplifying this to determine the unknown side, then simply subtract the 9 from 25 which is 16. The square root of sixteen is 4. Hence, this is the length of the side you wish to determine length of. Draw a little picture with the 3 - 4 - 5 on it; then change the numbers to the lengths you know, and you should easily see how to determine the answer.Originally Posted by 44MAG#1
Good luck.... hope I helped.
geo
Call a surveyor. They are fairly well versed in angles.
Last edited by Rapier; 05-15-2023 at 03:49 PM.
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Georgerkahn gave the best answer. M-techs is okay if you always have internet access.
What is it is the hypotenuse one doesn't know?
Greetings,
What do you know about the triangle?
Length of any of the sides?
Angle created opposite the 90 degree angle?
Cheers,
Dave
Greetings,
Hi
What do you know about the triangle?
That is has three sides.
Length of any of the sides?
I said the length of the unknown side so the others would be known.
Angle created opposite the 90 degree angle?
Dont know. Wouldn't that be established by the length of the known sides on a right triangle?
Cheers,
If you know two sides of a right triangle, you can use the Pythagorean Theorem to find the other (as many have already stated)
Attachment 314015
If you know a side and one of the angles, you can use trigonometry to find the other unknowns. Just remember that the sum of all the angles is 180 degrees...
Attachment 314016
The question was how to find an unknown side of a right triangle. No trig is needed. The hypotenuse is the side away from the right angle
The square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides. Just find the square root for the measurement. Or,just use a ruler.
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40 years ago I used this stuff multiple times a day, now it all looks like Greek to me. If you do not use it, you loose it.
If there is an unknown side, then you just have two line segments.
~~~~~~~~~~~~~~
“If someone has a gun and is trying to kill you, it would be reasonable to shoot back with your own gun.”
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What?
There are 3 sides to a Right Triangle
Being one side is unknown and we don't know if the hypotenuse is known or unknown, then it's a paradox much like Schrodinger's cat thought experiment. So I just stated what is known, that you have two line segments.
~~~~~~~~~~~~~~
“If someone has a gun and is trying to kill you, it would be reasonable to shoot back with your own gun.”
― The Dalai Lama, Seattle Times, May 2001
The unknown means unknown length.
The other TWO sides are KNOWN.
As a machinist/toolmaker I've been using two sides or one angle and one side to trig. hole location for right triangles since 1978.
https://owlcation.com/stem/Math-How-...the%20triangle.
We can calculate the angle between two sides of a right triangle using the length of the sides and the sine, cosine or tangent. To do this, we need the inverse functions arcsine, arccosine and arctangent. If you only know the length of two sides, or one angle and one side, this is enough to determine everything in the triangle.
Last edited by M-Tecs; 05-15-2023 at 11:31 PM.
2nd Amendment of the U.S. Constitution. - "A well regulated Militia, being necessary to the security of a free State, the right of the people to keep and bear Arms, shall not be infringed."
"Before you argue with someone, ask yourself, is that person even mentally mature enough to grasp the concept of different perspectives? Because if not, there’s absolutely no point."
– Amber Veal
"The Highest form of ignorance is when your reject something you don't know anything about".
- Wayne Dyer
is the hypotenuse is known?
~~~~~~~~~~~~~~
“If someone has a gun and is trying to kill you, it would be reasonable to shoot back with your own gun.”
― The Dalai Lama, Seattle Times, May 2001
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