Questions on Word Problems: Problems with consecutive odd even integers answered by real tutors!

Algebra ->  Algebra -> Questions on Word Problems: Problems with consecutive odd even integers answered by real tutors!     (Log On)
Ad: Algebra Solved!™: algebra software that solves YOUR algebra homework problems with step-by-step help!


Question 154120This question is from textbook Intermediate Algebra
: The lengths of the three sides of a right triangle are represented by consecutive whole numbers. Find the lengths of the three sides.This question is from textbook Intermediate Algebra
: The lengths of the three sides of a right triangle are represented by consecutive whole numbers. Find the lengths of the three sides.
Answer by jojo14344(883) About Me  (Show Source):
You can put this solution on YOUR website!
Remember:
adjacent=a=x
opposite=o=x+1
hypotenuse=h=x+2
consecutive numbers system(x,x+1,x+2)
By Pyth theorem:
h^2=a^2+o^2 ------------------> working eqn
(x+2)^2=x^2+(x+1)^2
x^2+4x+4=x^2+x^2+2x+1
2x^2+2x+1-x^2-4x-4=0
x^2-2x-3=0
By Quadratic : a=1, b=-2, & c=-3
x=(-b+-sqrt(b^2-4ac))/2a
x=(-(-2)+-sqrt(-2^2-4*1*-3))/(2*1)
x=(2+-sqrt(4+12))/2
x=(2+-sqrt(16))/2
x=(2+-4)/2
2 VALUES:
x=(2+4)/2=6/2=3 -------> USED
x=(2-4)/2=-2/2=-1-------> DON'T USED
So the sides:
adjacent=3
opposite=3+1=4
hypotenuse=3+2=5
In doubt? go back working eqn:
5^2=3^2+4^2
25=9+16
25=25
Thank you,
Jojo