13MULTIPLES OF PYTHAGOREAN TRIPLESANY MULTIPLE OF A PYTHAGOREAN TRIPLE...

3:4:5 8:15:17 5:12:13

M

ULTIPLES OF

P

YTHAGOREAN

T

^RIPLES

Any multiple of a Pythagorean triple is also a Pythagorean triple. Therefore, if given 3:4:5, then 9:12:15 is alsoa Pythagorean triple.

Example

If given a right triangle with sides measuring 6,x,and 10, what is the value ofx?

Solution

Because it is a right triangle, use the Pythagorean theorem. Therefore,10

²

−6

²

= x

²

100 −36 = x

²

64 = x

²

8 = x