SOLUTION: The variable r and s represent the length of the legs of a right triangle,and t represents the length of the hypottenuse. find the unknowm vaule. then tell whether the lengths form

Algebra ->  Pythagorean-theorem -> SOLUTION: The variable r and s represent the length of the legs of a right triangle,and t represents the length of the hypottenuse. find the unknowm vaule. then tell whether the lengths form      Log On


   

Question 75658This question is from textbook Geometry
: The variable r and s represent the length of the legs of a right triangle,and t represents the length of the hypottenuse. find the unknowm vaule. then tell whether the lengths form a pythagorean triple.
1) r = 8, t = 12

2)r = 4, s = 6 This question is from textbook Geometry

Answer by sarah123(1) About Me  (Show Source):
You can put this solution on YOUR website!
1) Perpendicular = r = 8
Hypotenuse = t = 12
Base = s = ?
Using Pythagoras Theorem
(Hyp)˛= (perp)˛ + (base)˛
Putting the values
(12)˛ = (8)˛ + (Base)˛
144 = 64 + Base˛
144 - 64 = Base˛
80 = Base˛
After taking the square root of both the sides:
8.94 = Base (Answer)
CHECK:
Hyp˛= Perp˛ + Base˛
(12)˛ = (8)˛ + (8.94)˛
144 = 64 + 79.9
144 = 144

2) Perpendicular = r = 4
Hypotenuse = t = ?
Base = s = 6
Using Pythagoras Theorem
(Hyp)˛= (perp)˛ + (base)˛
Putting the values
Hyp˛ = (4)˛ + (6)˛
Hyp˛ = 16 + 36
Hyp˛ = 52
After taking the square root of both the sides:
Hyp = 7.2 (Answer)
CHECK:
(Hyp)˛= (perp)˛ + (base)˛
(7.2)˛ = (4)˛ + (6)˛
52 = 16 + 36
52 = 52