Right Triangle: finding length of sides with only one variable?

Is it possible to determine the length of BOTH the opposite and adjacent sides of a right triangle knowing ONLY the length of the hypotenuse and no angles (except for the right angle of course)?

Re: Right Triangle: finding length of sides with only one variable?

Quote:

Originally Posted by

**azjay** Is it possible to determine the length of BOTH the opposite and adjacent sides of a right triangle knowing ONLY the length of the hypotenuse and no angles (except for the right angle of course)?

No. Make a diagram and label the sides of your triangle and use the pythagorean theorem. This will give you a relationship between the sides. Any "pair" of sides that satisfy that equation will make a right triangle.

Re: Right Triangle: finding length of sides with only one variable?

16,63,65

25,60,65

33,56,65

39,52,65

Re: Right Triangle: finding length of sides with only one variable?

Quote:

Originally Posted by

**Wilmer** 16,63,65

25,60,65

33,56,65

39,52,65

adjacent, opposite, hypotenuse? Assuming 65 was hypotenuse, how did you get these values basically?

Re: Right Triangle: finding length of sides with only one variable?

Quote:

Originally Posted by

**azjay** adjacent, opposite, hypotenuse? Assuming 65 was hypotenuse, how did you get these values basically?

"adjacent, opposite" of no significance; both are the "legs", usually denoted as a and b; c being the hypotenuse.

a^2 + b^2 = c^2. Look up right triangles and/or pythagorean theorem.

Re: Right Triangle: finding length of sides with only one variable?

Quote:

Originally Posted by

**azjay** Is it possible to determine the length of BOTH the opposite and adjacent sides of a right triangle knowing ONLY the length of the hypotenuse and no angles (except for the right angle of course)?

No. Go lean a ladder against a wall!