A right triangle has legs of length 6 and b and a hypotenuse of length c. The perimeter of the triangle is 24. Compute c.
+23252 A right triangle with side lengths 6 and b has hypotenuse value c.
Using the Pythagorean Theorem: 62 + b2 = c2.
The perimeter of the triangle is 24 ---> 6 + b + c = 24
---> b = 18 - c
Substituting: 62 + (18 - c)2 = c2
36 + ( 324 - 36c + c2 ) = c2
360 - 36c + c2 = c2
360 - 36c = 0
-36c = -360
c = 10
