Question

If the length of one leg of a right triangle is 16 and the length of the other leg is odd, what are the lengths of all the sides of the triangle?

Answer 1

I think the only way you can find the other two sides if 16 is the hypotenuse.

Answer 2

Since u know that
\[Hypotenuse ^{2}=a ^{2}+b ^{2}\]
Find the value of 16 squared and then use trial and error to figure out the other two sides.

Answer 3

coulnt you use sine and cosine

Answer 4

But you don't know any angles right?

Answer 5

no i dont

Answer 6

not besides the right angle

Answer 7

So I think would be best to use trial and error. You don't have enough data.

Answer 8

I think you can form only one Pythagorean triplet using the number 16.

Answer 9

what is it?

Answer 10

That you'll have to figure out using trial and error.

Answer 11

You already know that one member of the triplet is odd so that may be useful.

Answer 12

16,63,65?

Answer 13

for example one pythagorean triplet is 3,4 and 5 and there are so much pythagorean triplets in the form of 3n,4n and 5n

the given 16 is 4 squared

hope this will help you deducting the right answer

Answer 14

Yeah @jhonyy9 is right

Answer 15

for example than you multiplie these 3,4,5 triplet members by 4 you get

3*4=12
4*4=16
4*5=20

hope these will help you sure easy

Answer 16

ty. @Prathamesh_M

Answer 17

only you haven't got an odd length for the other leg.

Answer 18

there maybe many solutions to this problem - the question doesn't say that all lengths are integers.

Answer 19

You are correct thomas
65,63 and 16 fits the bill!

Answer 20

- the question doesn't say that the hypotenuse cannot be odd.

Answer 21

http://www.tsm-resources.com/alists/trip.html

- that is a list of pythagorean triples