SOLUTION: Find the range of measures of the third side of a triangle that has two sides of length 15 cm and 32 cm.

Algebra ->  Triangles -> SOLUTION: Find the range of measures of the third side of a triangle that has two sides of length 15 cm and 32 cm.      Log On


   



Question 833191: Find the range of measures of the third side of a triangle that has two sides of length 15 cm and 32 cm.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Use the Pythagorean Theorem,
A%5E2%2BB%5E2=C%5E2
Smallest:
A%5E2%2B15%5E2=32%5E2
A%5E2%2B225=1024
A%5E2=799
A=sqrt%28799%29
Largest:
15%5E2%2B32%5E2=C%5E2
225%2B1024=C%5E2
C%5E2=1249
C=sqrt%281249%29