The legs of a right triangle are 3 and 4. Find the length of the hypnotuse.... :confused: Please explain!

Thanks in advance.

WhyteChocolate

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- May 5th 2007, 01:01 PMwhytechocolate01Hypotenuse ???
The legs of a right triangle are 3 and 4. Find the length of the hypnotuse.... :confused: Please explain!

Thanks in advance.

WhyteChocolate - May 5th 2007, 01:05 PMGeometor
The hypotenuse is the longest side of a triangle and is opposite the right-angle in a right-angled triangle. From what you tell me, Phythagoras theorem shall be used here. Where:

c^2 = a^2 + b^2 (note, a b and c can be any value) in this case the c represents the hypotenuse (its the longest side)

so, you have 3 and 4 as the other lengths. THat means

c^2 = 3^2 + 4^2

= 9 + 16

= 25

c = sq. root 25

= 5

Happy to help! - May 5th 2007, 01:09 PMJhevon
Geometor is absolutely right, but i'd just like to point out that this is the famous 3-4-5 triangle, so with experience you would know that the answer is 5 without doing any calculations. it works for anything in propotion as well.

so if the legs were: 12 and 16, the answer for the hypotenuse would be 20, without even doing calculations (you can check this if you don't believe me) - May 5th 2007, 01:15 PMJhevon
- May 5th 2007, 01:32 PMGeometor
:D thank you for adding on but to expand on your point. If 3-4-5 triangle exists in phythagoras theorem so there also is a 6-8-10 (2(3-4-5), 9-12-15(33-4-5) triangle. This may be useful when a question asks you to list the lengths of a triangle solved by pythagoras.

- May 5th 2007, 01:34 PMJhevon