SOLUTION: How would you find the length of x, if a triangle (has a 90 degree angle) had sides 15. and 20 cm long?

Algebra ->  Triangles -> SOLUTION: How would you find the length of x, if a triangle (has a 90 degree angle) had sides 15. and 20 cm long?      Log On


   



Question 285376: How would you find the length of x, if a triangle (has a 90 degree angle) had sides 15. and 20 cm long?
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Depends on whether the "x" is the measure of the hypotenuse or one of the legs of the right triangle.

If is the measure of the hypotenuse, there are two ways to go about it. You can recall that 3-4-5 is a Pythagorean triple and notice that 15 is 3 times 5 and 20 is 4 times 5 so the hypotenuse must be 5 times 5 or 25. Or you can use the Pythagorean theorem to write:



and do the indicated arithmetic.

On the other hand, if is NOT the measure of the hypotenuse, then the hypotenuse must measure 20 and you need to solve:




John