SOLUTION: In rectangle JKLM, N lies on diagonal JL with MN⊥JL. If MN=15 cm and JM=17 cm, then what is the length of JL in cm?

Algebra ->  Rectangles -> SOLUTION: In rectangle JKLM, N lies on diagonal JL with MN⊥JL. If MN=15 cm and JM=17 cm, then what is the length of JL in cm?      Log On


   

Question 1133727: In rectangle JKLM, N lies on diagonal JL with MN⊥JL. If MN=15 cm and JM=17 cm, then what is the length of JL in cm?
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


Triangles JNM and MNL are similar triangles.

(1) Use the Pythagorean Theorem to find the length of JN. (Or you might recognize the lengths of MN and JM as being part of a Pythagorean triple, which means you won't need to use the Pythagorean Theorem.)

(2) Use the two similar triangles to find the length of NL.

(3) The length you need to find is the sum of the lengths of JN and NL.